Question

question 2 of 5 view policies current attempt in progress in getting ready to slam - dunk the ball, a basketball player starts from rest and sprints to a speed of 7.72 m/s in 3.85 s. assuming that the player accelerates uniformly, determine the distance he runs. number i units save for later attempts: 0 of 3 used submit answer

Explanation:

Step1: Find the acceleration

Use the formula $a=\frac{v - v_0}{t}$, where $v_0 = 0\ m/s$ (starts from rest), $v=7.72\ m/s$ and $t = 3.85\ s$.
$a=\frac{7.72 - 0}{3.85}=2\ m/s^{2}$

Step2: Find the distance

Use the kinematic - equation $x=v_0t+\frac{1}{2}at^{2}$. Since $v_0 = 0\ m/s$, the equation simplifies to $x=\frac{1}{2}at^{2}$.
Substitute $a = 2\ m/s^{2}$ and $t = 3.85\ s$ into the equation:
$x=\frac{1}{2}\times2\times(3.85)^{2}=14.8225\ m$

Answer:

$14.8225$ m