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) =
s(t) = 1/2 t^2 + 7t + c
as you say, c=1, so
s(t) = 1/2 t^2 + 7t + 1