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A car in stop-and-go traffic starts at rest, moves forward 22m in 8.0s,then comes to rest again. The velocity-versus-time plot for this car is given in the figure. What distance does the car cover in

(a) the first 4.0 seconds of this motion and

(b) the last 2.0 seconds of its motion?

(c) What is the constant speed v that characterizes the middle portion of its motion?

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Anil Kumar G.
Anil Kumar G.Lv10
4 Jan 2021

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Question: A car in stop-and-go traffic starts at rest, movesforward 17 in 8.0 , then comes to rest again.


A) What distance does the car cover in the last 2.0 seconds of itsmotion?



B)What is the constant speed that characterizes the middle portionof its motion?


Please show each step and explain

vf = vi + at
rx = vit + ½ at2
vf2 = vi2 +2arx
rx = ½ (vi + vf)t

4. A sailboat is moving across the water at 3.0 m/s. A gust of windfills its sails and it accelerates at a constant 2.0 m/s2. At thesame instant, a motorboat at rest starts its engines andaccelerates at 4.0 m/s2. After 3.0 seconds have elapsed, find thevelocity of (a) the sailboat, and (b) the motorboat.



7. A rail gun uses electromagnetic energy to accelerate objectsquickly over a short distance. In an experiment, a 2.00 kgprojectile remains on the rails of the gun for only 2.10x10-2 s,but in that time it goes from rest to a velocity of 4.00×103 m/s.What is the average acceleration of the projectile?



12. A space shuttle sits on the launch pad for 2.0 minutes, andthen goes from rest to 4600 m/s in 8.0 minutes. Treat its motion asstraight-line motion. What is the average acceleration of theshuttle (a) during the first 2.0 minutes, (b) during the 8.0minutes the shuttle moves, and (c) during the entire 10 minuteperiod? (be careful with min and seconds)



19. The United States and South Korean soccer teams are playing inthe first round of the World Cup. An American kicks the ball,giving it an initial velocity of 3.6 m/s. The ball rolls a distanceof 5.0 m and is then intercepted by a South Korean player. If theball accelerates at -0.50 m/s2 while rolling along the grass, findits velocity at the time of interception.




23. The city is trying to figure out how long the traffic lightshould stay yellow at an intersection. The speed limit on the roadis 45.0 km/h and the intersection is 23.0 m wide. A car istraveling at the speed limit in the positive direction and canbrake with an acceleration of -5.20 m/s2. (a) If the car is to stopon the white line, before entering the intersection, what is theminimum distance from the line at which the driver must apply thebrakes?



**(b) How long should the traffic light stay yellow so that if thecar is just closer than that minimum distance when the light turnsyellow, it can safely cross the intersection without having tospeed up?

I no this is alot of questions but im having trouble answeringthese! So please help me..

The figure shows three graphs, A, B, C, which collectively describe the motion of an object in one dimension. The horizontal axis of each graph is time (symbol t). The vertical axes of the graphs are different. For one graph the vertical axis is position (symbol x), for another, it is the velocity (symbol v), and for another, it is acceleration (symbol a). Where the axes across is the point of zero for both time and the quantity corresponding to the vertical axis. Part A: For which sequence of graphs is the vertical coordinate position, velocity, and acceleration, respectively? (e.g., If you think graph Y is position versus time, graph X is velocity versus time, and graph Z is acceleration versus time, then your answer is Y, X, Z.). Multiple choice: 1)C, A, B 2)A, C, B 3)C, B, A 4)B, C, A 5)B, A, C 6)A, B, C. Part (b) Which one of the following situations can be most accurately represented by the graph, consistent with your answer to part (a)? (1) A car driving in the negative x-direction suddenly shifts into reverse and, with tires spinning, slows to a momentary stop before beginning to move in the position x-direction. (2)A car driving in the position x-direction slams on its brakes and comes to rest. (3) A rock is dropped from the rest from the top of a tall building. Assume air drag can be neglected, in which case its speed increases by the same amount each second. Take upward to be the position x-direction. (4) A sprinter runs a 100-meter dash and she runs in the negative x-direction. Starting from rest, she has a constant acceleration for the first 50 meters, then a constant speed for the remaining 50. Multiple choices: 1)4, 2)3, 3)2, 4)1.

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