no replies but i tried it in case someone has the same problem I'll post someone can check it if they have the time.
find the position function x(t) of a moving particle with the givien acceleration a(t), initial position =x(0) and initial velocity= v(0) using the following data.
a(t)=50, initial velocity=10 and initial position=20
v(0)=10 so c=10
x(0)=20 so D=20