Need some help with this kinematics question - Is it possible for a car to have accelerated from a stop to 55mph within 268 meters if the car can go from 0 to 60mph in 15 seconds?

First, we need to figure out how fast the car can accelerate, which is the speed over time, so a=26.8/15 m/s^2.

a= 1.8m/s^2. If the car needs to accelerate to 24.6m/s, in that distance, it needs a different acceleration, solved by (Vf^2)/(2d) = a. Solving this for a gives (24.6^2)/(2 * 268) = a

a = 1.13m/s^2. This acceleration is lower than the maximum acceleration of the car given by the 0 to 60 rate, so it is possible for the car to accelerate to that speed in that distance.