Projectile Question: How Much Vertical Distance Does Ball Clear Crossbar?

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SUMMARY

The projectile motion problem involves calculating the vertical distance a football clears a crossbar set at 3.05 meters. The ball is kicked from a distance of 44 meters with an initial speed of 24 m/s at an angle of 30.1 degrees. Using the equations of motion under the influence of gravity (9.8 m/s²), the ball's trajectory can be analyzed to determine the height at which it crosses the goal line. The calculations reveal the exact vertical clearance above the crossbar.

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Projectile Question?

To win the game, a place kicker 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 30.1◦ from the horizontal.
The acceleration of gravity is 9.8 m/s2 .
By how much vertical distance does the ball
clear the crossbar? Answer in units of m.
 
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menesh2002 said:
To win the game, a place kicker 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 30.1◦ from the horizontal.
The acceleration of gravity is 9.8 m/s2 .
By how much vertical distance does the ball
clear the crossbar? Answer in units of m.

Welcome to PF.

What equations would you use to go about figuring it out?
 

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