Please show me the best way to set this problem up. A subway train starts from r

Question

Please show me the best way to set this problem up.

A subway train starts from rest at a station and accelerates at a rate of 1.32 m/s2 for 15.5 s. It runs at a constant speed for 62.2s, and slows down at a rate of -3.584 m/s2 until it stops at the next station. 1) What is the subway trains constant speed it travels during the constant speed portion of the motion? 2) What is the acceleration of the subway train during the constant speed portion of the motion 3) How long is the deceleration portion of the subway trains motion? 4) Find the total distance covered.

Explanation / Answer

a1 = 1.32 m/s2, t1 = 15.5 s.

t2 = 62.2 s

a3 = -3.584 m/s2,

1) v = a1t1 = 20.5 m/s

2) the acceleration of the subway train during the constant speed portion of the motion = 0

3) How long is the deceleration portion of the subway trains motion?

t3 = (0 - v)/a3 = 5.7 s

4) Find the total distance covered.

a1t12/2 + vt2 + (vt3 + a3t32/2) = 1492 m

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