(b) How long does it take the car to change its speed from 10.0 m/s to 20.0 m/s? A speedboat moving at 30.0 ${m} / {s}$ approaches a no-wake buoy marker $1.00 \times 10^{2} {m}$ ahead. In Bosnia, the ultimate test of a young mans courage used to be to jump off a 400 - year - old bridge (destroyed in 1993; rebuilt in 2004) into the River Neretva, 23 m below the bridge. V In 1865 Jules Verne proposed sending men to the Moon by firing a space capsule from a 220-m-long cannon with final speed of 10.97 km/s. The velocity of a toy car is plotted in the graph below. The pilot slows the boat with a constant acceleration of $-3.50 {m} / {s}^{2}$ by reducing the throttle. Experts are tested by Chegg as specialists in their subject area. 1.85 min 2.5 (b) How far must the faster car travel before it has a 15-min lead on the slower car? How far apart are the stop signs? What must the average speed of the car during the last 42 minutes of the trip be if the car is to have an average speed of 21 m/s for the entire trip? (b) How far must the faster car travel before it has a 15-min lead on the slower car? Please help me understand how to do this, show me in word or pdf please. A car is stopped at a stop light. Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 70 mi/h. Educator app for An experimental land vehicle X is able to change its acceleration instantly. What is the rate of the slower truck? 38 * t1 = 44 mi. After how many seconds will the first train. The driver of the car instantaneously steps on the gas and accelerates at 8.0 ft/s^2 and catches the truck in 0.200 mi (1056 ft). How far must the faster car travel before it has a 20 min lead on the slower car? The time will be the same for both cars. A body is said to have a certain speed if it covers a particular distance within a certain time. A car accelerates, uniformly from rest, to 6.6m/s in 6.5 seconds. X Your response. A vehicle moving with a uniform acceleration of 2 m/s^2 has a velocity of 4 m/s at a certain time. {/eq}. If the car is going 20.556 mph faster than the bike, what is the car's speed in mph? rK|_?tp~ DCtiH8,2.vvf$B2RNS" 0:-t"Id9"'H)FhP%u(ExxtxA`e) Assuming they start at the same point, how much sooner does the faster car arrive at a destination = 12 mi away? The tortoise wins by a shell (20 cm). endstream endobj 23 0 obj <>/Metadata 2 0 R/PageLayout/OneColumn/Pages 20 0 R/StructTreeRoot 6 0 R/Type/Catalog>> endobj 24 0 obj <>/Font<>>>/Rotate 0/StructParents 0/Tabs/S/Type/Page>> endobj 25 0 obj <>stream How far must the faster car travel before it has a 15 minute lead on the slower car? The cars travel in the same direction along a straight road. Submit order An automobile traveling along a straight road increases its speed from 48 ft/s to 61 ft/s in 180 ft. Two cars emerge side by side from a tunnel. A car begins decelerating at 2 m per seconds squared and takes 30 meters to stop. Later on a highway, it accelerates from 30 km/h to 60 km/h. Two cars B and C approach car A in opposite directions with a speed of 54 km h -1 each. Homework Equations average velocity=change of position/change in time The Attempt at a Solution iPad. This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here! Which takes more energy: going from 0 to 30 km/h or going from 30 to 60 km/h? (a) Assuming that they start at the same point, how much sooner does the faster car arrive at a destination 10.0 miles away? Then, once again we write the time (in hours) taken as: {eq}\displaystyle t_f = \frac{d}{60} \\ Assuming they start at the same point, how much sooner does the faster car arrive at a destination 9 miles away? (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 12 mi away? Assume the car travels in the positive direction. An insect called the froghopper (Philaenus spumarius) has been called the best jumper in the animal kingdom. Expert's answer Download Answer Need a fast expert's response? Time taken is 1 hour. (b) For the given information, what single equation is most appropriate for finding the acceleration? A) What distance does the first vehicle travel while the driver is reacting? Sketch a position vs. time graph. State and explain whether car Q exceeds. Answers are in terms of the variables $a_{1}, a_{2}, t_{1},$ and $t_{2}$. She drives for 50.0 minutes at 60.0 km/h, 9.0 minutes at 95.0 km/h, and 55.0 minutes at 35.0 km/h. (a) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? Relative to the origin, what is the car's final location? (i) Find the average acceleration of the object during the time intervals (a) 0 to 5.0 s, (b) 5.0 s to 15 s, and (c) 0 to 20 s. (ii) Find the instantaneous acceleration at (a) 2.0 s, (b) 10 s, and (c) 18 s. A steam catapult launches a jet aircraft from the aircraft carrier John C. Stennis, giving it a speed of 175 mi/h in 2.50 s. (a) Find the average acceleration of the plane. Assuming constant acceleration, determine how long the train blocked the crossing. You are driving at the speed of 33.5 m/s (74.9534 mph) when suddenly the car in front of you (previously traveling at the same speed) brakes and begins to slow down with the largest deceleration possi. (b) How far must the faster car travel before it has a 15-min lead on the slower car? Which car is passing the other as they come out of the. (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 10 mi away? (d) Does the change in speed of the downward-moving rock agree with the magnitude of the speed change of the rock moving upward between the same elevations? Runner A is initially 4.0 mi west of a flagpole and is running with a constant velocity of 6.0 mi/h due east. (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 10 mi away? "@7Xb Xf/[@A }e`m)F^0 V!c During the arduous trip they leap vertically upward over waterfalls as high as 3.6 m. With what minimum speed must a salmon launch itself into the air to clear a 3.6 - m waterfall? How far would it move in 3600 s? (a) How long does the race take? (d) What is the total distanceit travels during the interval in part (c)? Suppose after 10.0 miles car 2 travels the next 5.50 miles in 6.00 minutes. A ball is thrown vertically upward with a speed of 25.0 m/s. (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 11 mi away? (b) Assuming the acceleration is constant, find the distance the plane moves. A ball thrown straight up into the air is found to be moving at 1.50 m/s after rising 2.00 m above its release point. The question is asking how far the faster car has traveled. The cheetah can reach a top speed of 114 km/h (71 mi/h). If he accelerates uniformly at 4.0 ${m} / {s}^{2}$ (a) how long does it take him to catch his opponent, and (b) how far has he traveled in that time? 6. 1 = 80 / (54 + x) 54 + x = 80. x = 80 - 54. x = 26. Sketch a position vs. time graph. Get 5 free video unlocks on our app with code GOMOBILE. Assuming they start at the same point, how much sooner does the faster car arrive at a destination 12 mi away? A jet plane lands with a speed of 100 m/s and can accelerate at a maximum rate of $-5.00 {m} / {s}^{2}$ as it comes to rest. State and explain whether car Q exceeds, acceleration = . m s2, acceleration = gradient or v / ()t or (v u) / t, e.g. While chasing its prey in a short sprint, a cheetah starts from rest and runs 45 m in a straight line, reaching a final speed of 72 km/h. It may not display this or other websites correctly. A mountain climber stands at the top of a 50.0 - m cliff that overhangs a calm pool of water. So the rate at which, so 2 times x-- maybe I'll do that in yellow-- 2 times x, x is 0.6 so it's going to be 1.2 times dx dt, so that's negative 30 miles per hour. (b) What is the total travel time? If their mass ratios are 1:4 and their initial speeds were both 13 m/s, find the magnitude and. (b) How long is he in the air? Question: part 1 of 2 Two cars travel in the same direction along a straight highway, one at a constant speed of \( 51 \mathrm{mi} / \mathrm{h} \) and the other at \( 80 \mathrm{mi} / \mathrm{h} \). (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 11 mi away? (Velocity and Acceleration of a Tennis Ball). An attacker at the base of a castle wall 3.65 m high throws a rock straight up with speed 7.40 m/s at a height of 1.55 m above the ground. A train $4.00 \times 10^{2} {m}$ long is moving on a straight track with a speed of 82.4 ${km} / {h}$ . (c) How high could the insect jump if air resistance could be ignored? (b) How long does it take to reach its highest point? part 2 of 2 How far Solutions Verified Solution A Solution B Answered 1 year ago Create an account to view solutions The two distances differ by 40 miles. How much farther will it take to come to a complete stop in the rain compared to on a nice day? In order to double the distance the distance between them, Car A will have to gain 18 miles on Car B to do which it will need 18/10=1.8 hours=1 hr 48 mins. What is the position of the car at time 2.6 s? Relative speed is 10 mph, to cover 18 miles it would take a bit less than 2 hours, Only option A is less than 2 hours, hence is the correct answer. JavaScript is disabled. V A particle starts from rest and accelerates as shown in Figure P2.20. What was the c, The graph represents the motion of two vehicles: A and B. a) What is the acceleration of vehicle A during the first 5.0 s? Experts are tested by Chegg as specialists in their subject area. 2 Weeks to a Great Verbal Score! A blue car started from the origin traveling with a constant velocity of 15.0 m/s east. Calculate (a) the speed of each ball as it hits the ground and (b) the difference between their times of flight. Show your c. A car accelerates from rest at a rate of 2.90 m/s2 for 21.0 s. How far does the car travel in those 21.0 seconds? hXmo8+Z/dMnhaF>x5.C;/MW6eH)B82 `%1TBraVh-2-gx 4C%*aU+&Cg82a -nG7>y$YTG9> The driver of the Thunderbird realizes that she must make a pit stop, and she smoothly slows to a stop over a distance of 250 m. She spends 5.00 s in the pit and then accelerates out,reaching her previous speed of 71.5 m/s after a distance of 350 m. At this point, how far has the Thunderbird fallen behind the Mercedes Benz, which has continued at a constant speed? Car A passes Car B at 1:30 pm. \mathrm{km} / \mathrm{h}$ on a track with a total length of $1.60 \times 10^{3}$ . We can speak of constant velocity, meaning that the rate of coverage of distance is constant with time. So in other words, how much distance has the faster car covered at the point where it is 13.75 miles ahead of the other car? Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. One of Aesops fables tells of a race between a tortoise and a hare. (a) How long does it take the boat to reach the buoy? It accelerates to a speed of 11 m/s in 7 seconds. 5404 New Fashion Way, Charlotte, NC 28278 (704) 523-8865. . The units of x would be dollars ($), and velocity v would give the rate at which the balance changes (in units of, for example, $/month). For the first 5.0 s of the car's motion, the eastward component of the car's velocity is given by vx(t) = (0.840 m/s^3)t^2. (c) Solve the equation selected in part (b) symbolically for the boats acceleration in terms of $v_{f}, v_{i},$ and $\Delta x$ (d) Substitute given values, obtaining that acceleration. An object moves in a circular path at a constant speed. The driver then applies the brakes, causing a uniform acceleration of $-2.0 {m} / {s}^{2}$ . {/eq}, and time {eq}t 2003-2023 Chegg Inc. All rights reserved. The constant speed of the horse is 10.0 m/s, and the man is initially 3.00 m above the level of the saddle. ~pHZ~Xq4_1w{,A>.$+:-g989Y/^&4{8OPaZXNo!N1O{1}(!lp?$6x~FI)x$1@4~X2\Y?#VL _t|p-}NT]gIq8I{*)MSu_Z"a0aMf(YHEc} ($mb {/eq}, Setting the time difference {eq}t_s-t_f To find this, we will subtract 4 from 52 and add 4 to 52. A) What is the vehicle's deceleration? (b) How far must the faster car travel before it has a 15-min lead on the slower car? After how many seconds are they moving with the same velocity? (a) What minimum constant acceleration does the aircraft require if it is to be airborne after a takeoff run of 240. m? Assume the cars start at the same point and arrive at the same destination which is 10.0 miles away. {/eq}. The cars collide and become entangled. (a) Assuming that they start at the same point, how much sooner does the faster car arrive at a destination 10 mi away? How long does it take the cheetah to run the first 82 m? 1. Start from rest with a constant acceleration of 2.77 ${m} / {s}^{2}$ for 15.0 s.2. In order to meet both car B and truck, they will together travel 80 km. A record of travel along a straight path is as follows:1. Austin drives his car with an average velocity of 35.0 km/h to the east. X Your response differs significantly from the correct answer. Find the balls initial speed. Rework your solution from the beginning and check e step carefully mi. Why? Note that the actual height obtained is about 0.70 m, so air resistance is important here. min (b) How far must the faster car travel before it has a 15-min lead on the slower car? A car drives over the top of a hill that has a radius of 30 m. What maximum speed can the car have without flying off the road at the top of the hill? The coeff. What is the velocity of the first car after th. Determine the change in energy for each change in velocity, assuming that the driver is dealing with a 2500 kg car. (b) How far must the faster car travel before it has a 15-min lead on the slower car? If the car decelerated at the rate of 3.1 m/s2, what was the initial speed of the car, in m/s? You are using an out of date browser. (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 10 mi away? An 1100 kg car is traveling at 25 m/s when it hits a 1300 kg parked car. Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 70 mi/h. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 16.4 km/h. How far apart are; Two cars travel in the same direction along a straight highway, on at a constant speed of 38.0 mi/h and the other at 89.0 mi/h. T = t1-t2 (d) What is her average speed for the round trip? Solve for ds dt. %PDF-1.5 % (b) How much time is required for the blood to reach its peak speed? (b) Can this plane land on a small tropical island airport where the runway is 0.800 km long? $)$ Compare your answer with the free-fall acceleration, 9.80 ${m} / {s}^{2}$ . Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. (b) What is the average velocity of the winning boat? Car A is 10 mph faster than Car B so it gains 10 miles in 1 hour on Car B. At the same time, a passenger in a car moving due north at 23.0 m/s observes the same bird. If the hare then begins running with constant speed $v_{1}$ and the tortoise continues crawling with constant speed $v_{2},$ it turns out that the tortoise wins the race if the distance $L$ is less than $\left(v_{2} /\left(v_{1}-v_{2}\right)\right) d$ . You are using an out of date browser. BIO The thickest and strongest chamber in the human heart is the left ventricle, responsible during systole for pumping oxygenated blood through the aorta to rest of the body. Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 70 mi/h. Find (c) the initial velocity of the ball and (d) the maximum height it reaches. %%EOF The expert examines two cars traveling in the same direction along a straight highway. copyright 2003-2023 Homework.Study.com. A model rocket is launched straight upward with an initial speed of 50.0 m/s. Two cars travel in the same direction along a straight highway,one at a constant speed of 55 mi/h and the other at 70 mi/h. Two cars are traveling in the same direction and with the same speed along a straight highway. a. Car A is 10 mph faster than Car B so it gains 10 miles in 1 hour on Car B. How much time would be required for the car to accelerate from rest to 60.0 miles per hour? Copper Cactus Ranch is an all-male, clothing optional retreat catering to gay, bi, and straight men 21 years or older. In a test run, a certain car accelerates uniformly from zero to 24.0 m/s in 2.95 s. (a) What is the magnitude of the cars acceleration? You walk for 6.44 km at a constant velocity of 2.51 m/s due west, turn around, and then walk with an average velocity of 0.485 m/s due east. g. Sketch the average velocity line in your graph from part e. Make sure all of your lines are labeled in the graph. During the first 18 minutes of a 1.0 hour trip, a car has an average speed of 11 m/s. A tennis player moves in a straight-line path as shown in Figure P2.8. The maximum value of a o for which car A can reach car B Medium View solution > View more More From Chapter Motion in a Plane View chapter > Revise with Concepts Sally travels by car from one city to another. Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 70 mi/h. Obtain this result by first writing expressions for the times taken by the hare and the tortoise to finish the race, and then noticing that to win, $t_{\text { tortoise }}

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