Question

A football player kicks a field goal from a distance of 45 m from the goalpost. The football is launched at a 35° angle above the horizontal. What initial velocity is required so that the football just clears the goalpost crossbar that is 3.1 m above the ground? Ignore air resistance and the dimensions of the football.

Answer 1

Answer:

The initial Velocity IS 3.53 cm

Explanation:

Answer 2

The initial velocity is required so that the football just clears the goalpost crossbar that is 3.1 m above the ground is 13.7 m/s.

Projectile

Projectile is the curved motion experienced by an object which is thrown in space.

Given an angle (θ) = 35°, acceleration due to gravity (g) = 10 m/s². u is initial velocity

The maximum height (h) is:

• $h=\frac{u^2sin^2\theta}{2g}$

For the ball to reach 3.1 m above the ground:

$3.1=\frac{u^2sin^2(35)}{2(10)} \\\\u=13.7 \ m/s$

The initial velocity is required so that the football just clears the goalpost crossbar that is 3.1 m above the ground is 13.7 m/s.

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