A Mini Cooper can accelerate from 0.0 mph to 90 mph in 8.82 seconds. How far does the car travel during the acceleration period?

acceleration = change in velocity/change in time

= (90-0)/(8.82/3600) = 36735 miles/hour^2

It accelerates that way for 8.82/3600 = .00245 hours

distance = (1/2) a t^2

= .5 * (36735)(.00245)^2

= .11 miles

if you want feet
.11 miles (5280 feet/mile) = 582 feet