Question

I found that c=1 but i can't get the other two questions


The velocity of a particle moving in a straight line is given by
v(t) = t2 + 7.

(a) Find an expression for the position s after a time t .



s(t) = _____ + C



(b) Given that s = 1 at time t = 0, find the constant of integration C.
C = 1

Find an expression for s in terms of t without any unknown constants.


s(t) =

Answer 1

s(t) = 1/2 t^2 + 7t + c

as you say, c=1, so

s(t) = 1/2 t^2 + 7t + 1