Given acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t.

a = 10cos5t ; v(0) = -6 ; s(0) = 12

Question

Given acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t.

a = 10cos5t ; v(0) = -6 ; s(0) = 12

anonymous · Answer

Integrate a with respect to t (adding your constant of integration).  Then set t=0 and use the fact that the answer is -6 to find C.  Then integrate your v function and do the same thing for s.