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23 Nov 2019

To demonstrate the tremendous acceleration of a top fueldragracer, you attempt to run your car into the back of a dragsterthatis "burning out" at the red light before the start of arace.(Burning out means spinning the tires at high speed to heatthetread and make the rubber sticky.)
What is tmax, the longest time after thedragsterbegins to accelerate that you can possibly run into theback of thedragster if you continue at your initial velocity?
Assuming that the dragster has started atthelast instant possible (so your front bumper almosthitsthe rear of the dragster at t = tmax, findyourdistance from the dragster when he started. If youcalculatepositions on the way to this solution, choose coordinatessothat the position of the drag car is 0 at t=0. Remember thatyouare solving for a distance (which is a magnitude, and can neverbenegative), not a position (which can benegative).
Find numerical valuesfor tmax andDstart in seconds andmeters for the (reasonable) valuesv0 = 60mph (26.8 m/s) and a=50m/s2.

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Related textbook solutions

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

Related questions

To demonstrate the tremendous acceleration of a top fuel dragracer, you attempt to run your car into the back of a dragster thatis "burning out" at the red light before the start of a race.(Burning out means spinning the tires at high speed to heat thetread and make the rubber sticky.)

You drive at a constant speed of toward the stopped dragster, notslowing down in the face of the imminent collision. The dragsterdriver sees you coming but waits until the last instant to put downthe hammer, accelerating from the starting line at constantacceleration, . Let the time at which the dragster starts toaccelerate be .

a- What is , the longest time after the dragster begins toaccelerate that you can possibly run into the back of the dragsterif you continue at your initial velocity?

b- Assuming that the dragster has started at the last instantpossible (so your front bumper almost hits the rear of the dragsterat ), find your distance from the dragster when he started. If youcalculate positions on the way to this solution, choose coordinatesso that the position of the drag car is 0 at . Remember that youare solving for a distance (which is a magnitude, and can never benegative), not a position (which can be negative).

c- Find numerical values for and in seconds and meters for the(reasonable) values (26.8 m/s) and .
Separate your two numerical answers by commas, and give your answerto two significant figures.

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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