A horse trotting at 3 meters per second speeds up with an acceleration of 2 meters per second2 for a distance of 15 meters. Calculate the horse’s final
speed.

The horse's final speed is 8.31 m/s

Explanation:

Motion With Constant Acceleration

It's a type of motion in which the velocity of an object changes uniformly in time.

The equation that describes the change of velocities is:

Where:

a   = acceleration

vo = initial speed

vf  = final speed

t    = time

The distance traveled by the object is calculated as follows:

Solving [1] for t and substituting into [2] we get the following equation:

Now we use the data provided by the question. The horse starts at vo=3 m/s and then accelerates at for a distance of x=15 m. The final speed is:

The horse's final speed is 8.31 m/s