Question

At the beginning of a basketball game, a referee tosses the ball straight up with a speed of 7.79 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?

Answer 1

0.79 s

Step-by-step explanation:

The initial velocity of the ball is,
`u=7.79 m/s`.

And now we know that first equation of motion.

`v=u+at`

Here, v is the final velocity, u is the initial velocity, t is time taken by the object, a is the acceleration.

Given that, final velocity is zero and ball is inb upward direction means opposite to acceleration due to gravity which means a=-g. and the value of g is
`9.8 m/s^(2)`

Therefore,

`0=u-gt\\t=(u)/(g)\\ t=(7.79)/(9.8)\\ 0.79 s`

Therefore, it is the required minimum time that player must waiot to touch the ball.