Mikes car can accelerate from 0 mph to 40mph in 5 seconds what is the acceeration of his car in miles per hour per second

Does the distance travelled by an oscillating mass between times t=0 and t2 equal the displacement of the particle over the same time period if t2> t/2? hint: consider a sine wave starting at t1=0, then consider a closing wave starting at t1=0, for your explanation.