Aball rolling up a hill decelerates with a magnitude of 4 m/s^2. what was its starting velocity if the ball rolls to a stop after traveling 22m?

13.26m/s

Explanation:

A body that moves with constant acceleration means that it moves in "a uniformly accelerated motion", which means that if the velocity is plotted with respect to time we will find a line and its slope will be the value of the acceleration, it determines how much it changes the speed with respect to time.

When performing a mathematical demonstration, it is found that the equations that define this movement are as follow

Where

Vf = final speed

=0m/s

Vo = Initial speed

A = acceleration

=-4m/s^2

X = displacement

=22m

solving for  v0

the starting velocity  of the ball is 13.26m/s