A tennis player standing 12.6m from the net hits the ball at 3.00 degrees above the horizontal. To clear the net, the ball must rise at least 0.330m. If the ball just clears the net at the apex of its trajectory, how fast was the ball moving when it left the racket? Please show wooooorkkkkk =)

Respuesta :

Answer:

48.6 m/s

Explanation:

height, h = 0.33 m

angle of projection, θ = 3°

Let the velocity of projection is u.

Use the formula for the maximum height raised

[tex]H=\frac{u^{2}Sin^{2}\theta }{2g}[/tex]

[tex]0.33=\frac{u^{2}Sin^{2}3 }{2\times 9.8}[/tex]

u = 48.6 m/s

When an object is hit at an angle it will attain the projectile motion. The ball moves with a speed of 48.6 m/sec.

What is the maximum height achieved in projectile motion?

It is the height achieved by the body when a body is thrown at the same angle and the body is attaining the projectile motion. the maximum height of motion is given by ;

h is the height = 0.33 m

θ is the angle of projection = 3°

u is the velocity of projection =?

The maximum height achieved in projectile motion is given by the formula;

[tex]\rm H=\frac{u^2sin^2\theta}{g} \\\\ \rm u = \sqrt{\frac{Hg}{sin\theta} } \\\\ \rm u = \sqrt{\frac{12.6 \times 9.81}{sin3^0}\\\\[/tex]

[tex]\rm u = 48.6 m/sec[/tex]

Hence the balls move with a speed of 48.6 m/sec.

To learn more about the projectile motion refer to the link;

https://brainly.com/question/6261898