Problema Solution
In getting ready to slam-dunk the ball, a basketball player starts from rest and sprints to a speed of 8.62 m/s in 1.14 s. Assuming that the player accelerates uniformly, determine the distance he runs.
Answer provided by our tutors
First lets write what we are given:
v_o=0
v=8.62 m/s
t=1.14s
x_o=0
x=?
Next, we choose which kinematic equations we will use. We choose:
x=x_o+(v_o)t+(1/2)(a)(t^2)
v=v_o+at
Next, we plug in what we know:
x=(1/2)(a)(1.14^2)
8.62=a(1.14)
Using Algebrator to solve for 'x', we get:
x=4.9134 m