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?

Respuesta :

Answer:

0.79 s

Explanation:

The initial velocity of the ball is, [tex]u=7.79 m/s[/tex].

And now we know that first equation of motion.

[tex]v=u+at[/tex]

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 [tex]9.8 m/s^{2}[/tex]

Therefore,

[tex]0=u-gt\\t=\frac{u}{g}\\ t=\frac{7.79}{9.8}\\ 0.79 s[/tex]

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