Question

The acceleration of a particle is given by a = 3 – 2t. Its velocity at t = 0 is 4 ms–1. Find its velocity at t = 1 s.

Answer 1

Explanation:

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Answer 2

Answer:

The velocity at time 1 s is 2m/s,

Explanation:

Given acceleration of a particle, $a = 3 - 2t$

          velocity at time 0 s is 4m/s,

Acceleration is given by

                         $a=\frac{dv}{dt} \implies dv=adt$

                                      $\implies dv=(3-2t)dt$

Integrating both sides,

                               $\int dv=\int (3-2t)dt$

                           $\implies v = 3t-\frac{2t^{2} }{2}$

At t = 1 s, the velocity is

                           $\implies v = 3\times 1-\frac{2\times 1^{2} }{2}$

                                     $= 3-1=2m/s$

Hence, the velocity at time 1 s is 2m/s,