A particle is initially at rest and begins to accelerate to the right as 13t-t^2 m/s....

Question

Question

A particle is initially at rest and begins to accelerate to the right as 13t-t^2 m/s. How far does the particle move in 3 seconds?

science physics

Answer 1

Answer #1

Acceleration =

Then

Integrating both sides we get:

At t = 0, v = 0 ( starts from rest) ---> c = 0

SO

Now

Integrating both sides we get:

At t = 0, s = 0 ----> c₁ = 0

So

Now at t= 3 s,

Answer 2

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