"In getting ready to slam-dunk the ball, a..." was answered by students like you

High School
Physics
Force, Motion and Energy
Acceleration Due to Gravity

Ballestin3a

Answered question

2021-11-21

In getting ready to slam-dunk the ball, a basketball player starts from rest and sprints to a speed of 6.0 m/s in 1.5 s. Assuming that the player accelerates uniformly, determine the distance he runs.

Answer & Explanation

Ida Perry

Beginner2021-11-22Added 20 answers

Using the following equation we can calculate the distance:

x = v_{0} t + \frac{1}{2} a t^{2}

if the player start from rest

v_{0} =

to a speed of

v = 6 m \cdot s^{- 1}

in time interval of

t = 1.5 s

Using the following equation of motion:

v = v_{0} + a t

we can get the acceleration as:

a = \frac{v - v_{0}}{t}

= \frac{(6 m \cdot s^{- 1}) - (0)}{(1.5)}

= 4 m \cdot s^{- 2}

substitute into (1) to get the distance:

x = v_{0} t + \frac{1}{2} a t^{2}

= 0 + \frac{1}{2} (4 m \cdot s^{- 2}) {(1.5 s)}^{2}

= 4.5 m

x = 4.5 m

Result:

x = 4.5 m

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