Chapter 02, Problem 041 Your answer is partially correct. Try again As two train

Question

Chapter 02, Problem 041 Your answer is partially correct. Try again As two trains move along a track, their conductors suddenly notice that they are headed toward each other. The figure gives their velocities v as functions of time t as the conductors slow the trains. The figure's vertical scaling is set by vs 36.0 m/s. The slowing processes begin when the trains are 240 m apart, what is their separation when both trains have stopped? 0 t (s) NumberX^ lUiii» Units m Use correct number of significant digits, the tolerance is +/-2%

Explanation / Answer

train1:

x1i = 0

v1i = 36 m/s

acceleration a1 = v1f-v1i/t = -36/5 = -7.2 m/s^2

x1f = x1i+v1i*t+1/2a1t^2 = 0+36*5-1/2*7.2*5^2 = 90 m

train2:

x2i = 240 m

v2i = -27 m/s

a2 = 27/4 = 6.75 m/s^2

x2 = x2i+v2i*t+1/2a2*t^2 = 240-27*4+1/2*6.75*4^2 = 186 m

x = x2-x1 = 186-90 = 96 m

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