As a tennis ball is struck, it departs from the racket horizontally with a speed of 28.0 m/s. The ball hits the court at a horizontal distance of 19.6 m from the racket. How far above the court is the tennis ball when it leaves the racket?

Respuesta :

solution:

long to travel 19.6m at 28m/s

t =19.6/28

=time taken to drop from rest

s=ut+(1/2)at^2

u=0

a=~10

so s=(1/2)*10*(19.6/28)^2 =2.45m

The tennis ball is "2.401 m" far.

Equation of motion:

According to the question,

Horizontal distance = 19.6 m

Horizontal speed = 28

The time taken by the ball be:

→ t = [tex]\frac{Horizontal \ distance}{Horizontal \ speed}[/tex]

By substituting the values,

    = [tex]\frac{19.6}{28}[/tex]

    = [tex]0.7[/tex] second

By using equation of motion, we get

→ s = ut + [tex]\frac{1}{2}[/tex] gt²

By substituting the values,

     = [tex]0+0.5\times 9.8\times (0.7)^2[/tex]

     = [tex]2.401[/tex] m

Thus the above answer is right.

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