Question:

How to calculate acceleration from distance traveled and two instantaneous velocities

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A train started from rest and moved with constant acceleration, At one time it was travelling at 30m/s and 160metres further on it was travelling at 50m/s,

how do I find:

1. Acceleration

2.time required to travel the 160m mentioned

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  1. 2. time required to travel the 160 m

    Δx = .5(vi + vf) * Δt

    Δx = 160 m

    vi = 30 m/s

    vf = 50 m/s

    Δt = ?

    160 = .5(30 + 50) * Δt

    160 = 40 * Δt

    Δt = 160 / 40 = 4 s

    1. acceleration over the 160 m

    vf = vi + a *Δt

    50 = 30 + a * 4

    a = (50 - 30) / 4 = 5 m/s/s

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