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the 4 fundamental kinematic equations of motion for constant acceleration (suggest you commit these to memory):

s = ut + ½at^2 …. (1)

v^2 = u^2 + 2as …. (2)

v = u + at …. (3)

s = (u + v)t/2 …. (4)

where s is distance, u is initial velocity, v is final velocity, a is acceleration and t is time.

In this case, we know u = 10m/s, v = 50m/s, t = 10s and we want to find a, so we use equation (3)

v = u + at

50 = 10 + 10t, so t = (50 – 10)/10 = 4m/s^2

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