Problema Solution
A football player kicks a ball at an angle of 37 above the ground with an initial speed of 20 meters/second. The height, H, as a function of the horizontal distance traveled, d, is given by: H=0.75d-0.0192d^2. When the ball hits the ground, how far is it from the spot where the football player kicked it? Show how you solved this algebraically.
Answer provided by our tutors
A football player kicks a ball at an angle of 37 above the ground with an initial speed of 20 meters/second. The height, H, as a function of the horizontal distance traveled, d, is given by: H=0.75d-0.0192d^2. When the ball hits the ground, how far is it from the spot where the football player kicked it? Show how you solved this algebraically.
Solution:
When H=0
0.75d-0.0192d^2 =0
d=0, d=39.06
So it's 39.06 m from the spot where the football player kicked it