Question

The equation of motion of a body along a straight lineis given by s = 10 t - 2 t 2, then its initial velocity is
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Answer 1

s = 10t - 2t²

Diff wrt. t

⇒ds/dt = d(10t - 2t²)/dt

⇒v = 10 - 2(2t)

⇒v = 10 - 4t m/s

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At Initial Velocity, time = 0 s

⇒v = 10 - 4(0)

⇒v = 10 - 0

⇒v = 10 m/s

$\therefore$ Initial Velocity is 10 m/s.