Question

For a flourish at the end of her act, a juggler tosses a single ball high in the air. She catches the ball 3.3 s later at the same height from which it was thrown.
Part A What was the initial upward speed of the ball?
Express your answer to two significant figures and include appropriate units.

Answer 1

Answer:

Initial speed of the ball, u = 16 m/s

Explanation:

It is given that, a juggler tosses a single ball high in the air. She catches the ball 3.3 s later at the same height from which it was thrown. Let u is the initial upward speed of the ball.

At the highest point, the final speed of the ball, v = 0

Using equation of motion as :

$v=u+at$

a = -g

$0=u-gt$

Let $t_a\ and\ t_d$ are time of ascent and descent respectively.

So, total time, $t=\dfrac{2u}{g}$

$3.3=\dfrac{2u}{9.8}$

u = 16.17 m/s

or

u = 16 m/s

So, the initial upward speed of the ball is 16 m/s. Hence, this is the required solution.