To win the game, a place kicker must kick a football from a point 20 m (21.872 yd) from the goal, amd the ball must clear the crossbar, which is 3.05 m high, When kicked, the ball leaves the ground with a speed of 16 m/s at an angle of 58.1 degrees from the horizontal.
The acceleration of gravity is 9.8 m/s^2.
By how much vertical distance does the ball clear the crossbar?
6.179m
To determine how much vertical distance the ball clears the crossbar, we need to calculate the horizontal distance the ball travels first and then find the difference between the maximum height the ball reaches and the height of the crossbar.
To find the horizontal distance traveled by the ball, we can use the horizontal component of the initial velocity. We know the initial velocity (V₀) is 16 m/s and the launch angle (θ) is 58.1 degrees. The horizontal component (Vx) can be calculated using the formula:
Vx = V₀ * cos(θ)
Let's calculate it.