A football player kicks a ball at a 30o angle from the ground with an initial velocity of 15 m/s. What is the final velocity of the ball when it hits the ground?

Respuesta :

Given that,

Angle = 30°

Initial velocity = 15 m/s

We need to calculate the time of flight

Using formula of time of flight

[tex]T=\dfrac{2u\sin\theta}{g}[/tex]

Where, u = initial velocity

g = acceleration due to gravity

Put the value into the formula

[tex]T=\dfrac{2\times15\sin30}{9.8}[/tex]

[tex]T=1.5\ sec[/tex]

We need to calculate the final velocity of the ball

Using equation of motion

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

[tex]v=15+9.8\times1.5[/tex]

[tex]v=29.7\ m/s[/tex]

Hence, The final velocity of the ball is 29.7 m/s.