To win the game, a placekicker must kick a football from a point 44 m (48.1184 yd) from the goal, and the ball must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 24 m/s at an angle of 31◦ from the horizontal.
The acceleration of gravity is 9.8 m/s^2.
By how much vertical distance does the ball clear the crossbar?
Answer in units of m.

The distance by the ball clear the crossbar is 1.15 m

Explanation:

Given that,

Distance = 44 m

Speed = 24 m/s

Angle = 31°

Height = 3.05 m

We need to calculate the horizontal velocity

Using formula of horizontal velocity

Put the value into the formula

We need to calculate the vertical velocity

Using formula of vertical velocity

Put the value into the formula

We need to calculate the time

Using formula of time

Put the value into the formula

We need to calculate the vertical height

Using equation of motion

Put the value into the formula

We need to calculate the distance by the ball clear the crossbar

Using formula for vertical distance

Put the value of h

Hence, The distance by the ball clear the crossbar is 1.15 m

this is poiselle's equation from fluid mechanic in physics. mech eng