The area of an acceleration-time graph is:

Question

The area of an acceleration-time graph is:

(1) time

(2) velocity 

(3) acceleration

(4) displacement 

Answer 1

acceleration a(t) = v'(t) or dv/dt, rate of change of velocity.

 

Therefore the antiderivative of acceleration is velocity because ∫v'(t)dt = v(t) + C   (& C is resolved based on initial conditions).