At the beginning of a basketball game, a referee tosses the ball straight up with a speed of 4.97...

Question:

At the beginning of a basketball game, a referee tosses the ball straight up with a speed of 4.97 m/s. A player cannot touch the ball until after it reaches its maximum height and begins to fall down. What is the minimum time that a player must wait before touching the ball?

Velocity:

The term velocity can be simply defined as the differentiation of the particle position with respect to the time. The velocity can be stated as a vector quantity. Its measurable unit is in meter per second.

Answer and Explanation:

Given data:

  • The speed of the ball is {eq}u = 4.97\,{\rm{m/s}} {/eq}


The expression for the time is given by

{eq}v = u + at {/eq}

  • Here {eq}a = - 9.8\,{\rm{m/}}{{\rm{s}}^2} {/eq} is the acceleration as the ball is moving in downward direction.


Substituting the values in the above equation as,

{eq}\begin{align*} v &= u + at\\ 0 &= 4.97 - \left( {9.8} \right)\left( t \right)\\ t &= 0.5\,{\rm{s}} \end{align*} {/eq}


Thus the time is {eq}t = 0.5\,{\rm{s}} {/eq}


Learn more about this topic:

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Linear Velocity: Definition & Formula

from MCAT Prep: Help and Review

Chapter 14 / Lesson 12
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