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The velocity of a man riding a bike is 7 m/s. He starts accelerating and reaches a velocity of 22.6 m/s after a distance of 57.72 m. What is the bike's acceleration?

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Otakuprinceviz
First you need to get time:

distance = 1/2 (final velocity - initial velocity) x time
d = 1/2 (vf - vi) t
2d = (vf - vi) t
2d / (vf-vi) = t

2(57.72 m) / (22.6 m/s - 7 m/s) = t
115.44 m / 15.6 m/s = t
7.4 seconds = t

Then get the acceleration:

acceleration = (final velocity - initial velocity) / t
a = (22.6 m/s - 7 m/s) / 7.4 seconds
a = 2.11 m/s