Trains Two trains leave Jamaica Station along straight, parallel tracks. Track 2

Question

Trains Two trains leave Jamaica Station along straight, parallel tracks. Track 2 stops at Floral Park Station, while train 1 does not stop and passes train 2 10 minutes after departing Jamaica Station. The graph below shows the positions of the trains, labeled 1 and 2, as functions of time. Ten minutes in to the trip(t = 10 min), are the velocities of the trains equal? if not, which is larger? For the first 10 minutes (from t =0 to t = 10 min), are the average velocities of the trains equal? if not, which is larger? For the second 5 minutes of the trip (from t = 5 min t = 10 min), is the average acceleration of train 1 positive, negative, or aero? For the second 5 minutes of the trip (from t = 5 min t = 10 min), is the average acceleration of train 2 positive, negative, or zero?

Explanation / Answer

a) They are not equal.

Because slopes are not equal.

velocity of train 1 is larger.

here, velocity = dx/dt (slope of the stright line)

b) same.

beccause, they have travelled same distance in the given time.

c) zero. since velocity is constant.

a = d/v/dt

= 0

d) negative. since it is coming to rest poition.

velocity is decreasing.

dv/dt is negative. so, a is also negative.

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