What is the range of a football punted with an initial velocity of 24 m/s kicked at an angle of 51 $\circ$ above the horizontal? The ball leaves the punter's foot at an initial height of 1.1 m and is allowed to hit the ground.
A)35.5 m
B)57.5 m
C)58.3 m
D)61.8 m

Question

Quizplus · Accepted Answer

Using the kinematic equations, we can find the time of flight of the football:
y = viy*t + 0.5*a*t^2   (where y is the vertical displacement and a is the acceleration due to gravity)
0 = (24*sin(51))*t - 0.5*(9.81)*t^2
Solving for t, we get t ≈ 2.54 s

Now we can find the horizontal displacement (range):
x = vix*t   (where x is the horizontal displacement)
x = (24*cos(51))*2.54
x ≈ 58.3 m

Therefore, the range of the football is approximately 58.3 meters. So, the correct answer is C.

What Is the Range of a Football Punted with an Initial