Question

A particle is moving with the given data. find the position of the particle. at(t) = t2 − 4t + 3, s(0) = 0, s(1) = 20

Answer 1

Integrating    t^2 - 4t + 3

s =  t^3/3 - 2t^2 + 3t  + C   where C is some constant 

when t = 0 , s = 0   so C = 0

answer is  s = 1/3 t^3 - 2t^2 + 3t