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Instantaneous Velocity

The relation ...

Question

The relation between the acceleration and time for an object is given below. Calculate the velocity with which the object is moving at $t = 1$ (At $t = 0, v = 0)$
$a = 3 t - 4 t^{2}$ .

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Solution

A = 3t - 4t²dv/dt = 3t - 4t²

dv = (3t - 4t²)dt

Integrate

v = 3t²/2 - 4t³/3

At t = 1s

v = 3/2 - 4/3

v = 0.166m/s

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