Question

A particle is moving with the given data. Find the position of the particle. a(t) = t2 − 2t + 9, s(0) = 0, s(1) = 20

Answer 1

Position of the particle is 20.

Explanation:

Position function is integration of velocity function.

Velocity function is integration of acceleration function.

So, let's integrate the given a(t) to get v(t)

If we integrate v(t) then we get s(t)

It is given the values of s(0) =0 and s(1)=20

So, position of the particle is difference of 20, 0. That's 20-0 =20.