Suppose that an object's acceleration functions is given by a=8t+5. the objects initial velocity 4, and the initial position is 12. find the object's displacement as a function of time.

Question

Physics

Delilah Gilmore

11 June, 04:41

Suppose that an object's acceleration functions is given by a=8t+5. the objects initial velocity 4, and the initial position is 12. find the object's displacement as a function of time.

+1

Answers (1)

Know the Answer?

Kaiser · Answer 1

You take the antiderivative of acceleration twice putting in initial values where appropriate as constants of integration.

a=8t+5

v=4t^2+5t+4

s=4/3t^3+5/2t^2+4t+12