Question

Deshaun Watson launches a football at a speed of 24.7 ms and an angle of 33° above the horizontal How far down

the football field does the football land? What is the max height the football reaches during flight?
Show work

Answer 1

9.23m

Step-by-step explanation:

Max height = u²sin²theta/2g

u is the speed = 34.7m/s

theta is the angle of elevation = 33°

g is the acceleration due to gravity = 9.8m/s²

Substitute into the formula

Max height = 24.7²sin²33/2(9.8)

Max height = 610.09sin²33/2(9.8)

Max height = 610.09(0.29663)/19.6

Max height = 180.97/19.6

Max Height = 9.23m

Hence the max height the football reaches during flight is 9.23m