A horse runs with a constant acceleration of a = 0.2 m/s^2 from rest for 15 seconds until it reaches maximum speed. Then, for the next 20 seconds, it travels with a uniform maximum speed. Finally, the...

A horse runs with a constant acceleration of a = 0.2 m/s^2 from rest for 15 seconds until it reaches maximum speed. Then, for the next 20 seconds, it travels with a uniform maximum speed. Finally, the horse decelerates uniformly for 10 seconds before coming to rest.

Determine the total distance traveled by the horse