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A train travelling at 20 m s^-1 accelerates at 0.5 m s^-2 for 30 s. How far will it travel in this time?

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A train travelling at 20 m s-1 accelerates at 0.5 m s-2 for 30 s. How far will it travel in this time?

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Initial velocity, u = 20 m/s

Time, t = 30 s

Acceleration, a = 0.5 m/s2

Distance travelled is

s = \(ut + \frac{1}{2}at^2\)

s = 20 x 30 + \(\frac{1}{2}\) x 0.5 x 30 x 30

s = 600 + 225 = 825 m

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