Question

rickey approaches third base. He dives head first, hitting the ground at 6.75 m/s and reaching the base at 5.91 m/s in 2.5 seconds. Determine the distance Rickey slides across the ground before touching the base.

Answer 1

15.825 m

Step-by-step explanation:

t = Time taken = 2.5 s

u = Initial velocity = 6.75 m/s

v = Final velocity = 5.91 m/s

s = Displacement

a = Acceleration

Equation of motion

`v=u+at\\\Rightarrow a=(v-u)/(t)\\\Rightarrow a=(5.91-6.75)/(2.5)\\\Rightarrow a=-0.336\ m/s^2`

`v^2-u^2=2as\\\Rightarrow s=(v^2-u^2)/(2a)\\\Rightarrow s=(5.91^2-6.75^2)/(2* -0.336)\\\Rightarrow s=15.825\ m`

The distance Rickey slides across the ground before touching the base is 15.825 m