I really can't figure out this problem nor can i figure a similar problem from an example in class.
Suppose a particular jet needs to attain a speed of 220 mph to take off. If it can accelerate from 0 to 220 mph in 45 seconds, how long must the runway be(in feet)? Assume constant acceleration. Note: 1 mph = 22/15 ft/sec.
Don't forget to divide the answer given above by 2 which comes when you take the anti derivative of the acceleration*time in the second integral.
If you don't, the answer you get above will be 14520 feet, which is incorrect.
(at^2) = 14520 (INCORRECT!)
Divide by 2 and you will have the correct answer:
(at^2)/2 = 7260 (CORRECT!)