In a soccer practice session the football is kept at the center of the field 40 yards from the 10 ft high goalposts. A goal is attempted by kicking the football at a speed of 64 ft/s at an angle of 45 o to the horizontal. Will the ball reach the goal post?

Question

Philoid · Accepted Answer

Given:
Height of the goalpost = 10 ft
the football is kept at a distance of 40 yards, i.e., 120 ft, from the goalpost.
Initial speed u with which the ball is hit = 64 ft/s
Acceleration due to gravity, a = g = 9.8 m/s² = 32.2 ft/s²

For the given question, 40 yards is the horizontal range (R).
Angle of projection, = 45°

We know that the horizontal range is given by

⇒

Vertical distance covered by the football:

Height of the goalpost
Yes, the football will reach the goalpost.

In a soccer practice session the football is kept at the center of the field 40 yards from the 10 ft high goalposts. A goal is attempted by kicking the football at a speed of 64 ft/s at an angle of 45o to the horizontal. Will the ball reach the goal post?

In a soccer practice session the football is kept at the center of the field 40 yards from the 10 ft high goalposts. A goal is attempted by kicking the football at a speed of 64 ft/s at an angle of 45^o to the horizontal. Will the ball reach the goal post?