Mark saxby is set to kick the field goal to win the state championship for Olathe East. He is 47.0m away from the goalposts and he kicks the ball at a speed of 25.0m/s at an angle of 30.0 degrees.

Question

(a.) If the cross bar on the goalposts is 3.00m above the ground will the ball make it over the cross bar? Justify your answer

(b.) And if it does make it by how much will it clear?

Answer 1

hf=hi+vi'*t-4.8t^2 where is the time in air. You can solve that by
distance horizontal=vh*t
t=47/25cosTheta
Now put that time into the first equaiton, and see if hf is 3m or more.