10. [lpt] A car travels a certain distance along a straight road (in the +x dire

Question

10. [lpt] A car travels a certain distance along a straight road (in the +x direction). The distance the car travels as a function of time is shown in the figure below. When the car changes speed it does so uniformly Select the app riate choice for each statement: T-True, F-False, G-Greater than, L-Less than, E-Equal to. (If the first is T, the second is G, and the rest E, enter TGEEE) 1000 800 600 400 200 20 40 Pime (e) 60 80 A) The speed is ...zero at 23 sec B) The speed at 10 sec isthe speed at 79 sec C) The x-acceleration is... zero at 15 sec D) The x-acceleration is.. zero at 10 sec. E) At 10 sec, the speed is as high as it gets

Explanation / Answer

A] For a distance vs time plot, speed is the slope of the given graph.

Therefore, TRUE. The speed is zero at t=23s since the slope is zero at that time.

B] The speed at t=10s is EQUAL TO the speed at t=79s since the slope of the graph is equal for both the time.

C] Thr body is coming to rest from a finite speed and it is therefore decelerating. Since deceleration is essentially negative acceleration, therefore, the x acceleration is less than zero at t=15s.

D] True. X-acceleration is zero at t=10s since the speed of the object is constant in time.

E] False. The speed is higher in the time range 40 < t < 60 since the slope is larger.

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