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24/10/2021 7:38 pm
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(a) Explain the meaning of the following equation of motion v = u + at, where symbols have their usual meanings.
(b) A body starting from rest travels with uniform acceleration. If it travels 100 m in 5 s, what is the value of acceleration?
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24/10/2021 7:41 pm
(a) v = u + at is the first equation of motion. It gives the velocity acquired by a body in time t when the body has initial velocity u and uniform acceleration a.
(b) Initial velocity, u = 0 m/s
Time, t = 5 s
Distance, s = 100 m
Acceleration, a = ?
s = ut + \(\frac{1}{2}at^2\)
100 = 0 x 5 + \(\frac{1}{2}\) x a x 5 x 5
100 = 0 + \(\frac{25a}{2}\)
a = \(\frac{200}{25}\) = 8 m/s2