Question

The acceleration a of an object at time t is given by a = 2t. If initial velocity of the object is 2m/s,then find its velocity after 5 s.​

Answer 1

Answer:52ms^-1

Explanation:

Let's go over with v=u+at

V=u+at

V=2+2×5×5(for a,you have to get 2t=2×5)

V=52ms^-1

Answer 2

Answer:

answer is 27m/s

Explanation:

a = 2t ,c= 2 ,v=?

we know that a = dv/dt.

adt = dv

integrating both side we get

(2t)dt + c = v

2t²/2 + c = v

t² + c = v

5² + 2 = v

25 + 2 = v

27m/s = v.

Please NOTE that here acceleration is the function of time.. so it can never be constant that's why we can't use the equations of motion bcoz they are only for uniformly accelerated motion. so, here we have to use calculus method to get the right answer.

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