Rickey Henderson, baseball's record holder for stolen bases, approaches third base. He dives head first, hitting the ground at 6.75 m/s and reaching the base with a speed of 5.91 m/s, accelerating at -5.11 m/s 2 . Determine the distance Rickey slides across the ground before touching the base. How much time is he sliding for before touching the base?

The distance is 1.04 m and time is 0.16 seconds.

Explanation:

Initial speed, u = 6.75 m/s

Final speed, v = 5.91 m/s

Acceleration, a = -5.11 m/s²

We need to find the distance Rickey slides across the ground before touching the base and the time he sliding for before touching the base.

Let d is the distance. It can be calculated using third equation of motion as follows :

Let t is the time he slides for before touching the base. Using first equation of motion as follows :

So, the distance is 1.04 m and time is 0.16 seconds.