Answer:
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 :
[tex]v^2-u^2=2ad\\\\d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{(5.91)^2-(6.75)^2}{2\times (-5.11)}\\\\d=1.04\ m[/tex]
Let t is the time he slides for before touching the base. Using first equation of motion as follows :
[tex]t=\dfrac{v-u}{a}\\\\t=\dfrac{5.91-6.75}{-5.11}\\\\t=0.16\ s[/tex]
So, the distance is 1.04 m and time is 0.16 seconds.
