A skateboarder traveling at 7.0 meters per second rolls to a stop at the top of a ramp in 3.0 seconds. what is the skateboarderâs acceleration?

By definition, acceleration is the change in velocity per unit time. In the given problem, the initial velocity is 7 m/s. Since the statement says that it comes to a stop, the final velocity becomes zero. The time elapsed is 3 seconds. Using the equation for acceleration, we substitute the values to solve for a:

a = (v, final - v, initial) / t

a = (0 - 7) / 3

a = - 2.33 m/s²