Question

Suppose the football from the example problem (v0 = 20 m/s, θ = 37.0°) was a punt, and left the punter’s foot at a height of 1.00 m above the ground. How far did the football travel before hitting the ground? Set x0 = 0, y0 = 0.

39.2 m
43.5 m
47.8 m
51.1 m

Answer 1

The football travels 0 m before hitting the ground.

Step-by-step explanation:

To find the distance the football travels before hitting the ground, we need to determine the time it takes for the football to reach the ground. We can use the formula:

t = 2vy0/g

where t is the time of flight, vy0 is the vertical component of the initial velocity, and g is the acceleration due to gravity. Since the ball is dropped from rest, vy0 is 0 m/s.

Using the given information, we have:

t = 2(0)/9.8

t = 0 s

Since the time of flight is 0 s, the ball travels horizontally before hitting the ground. Therefore, the distance the football travels before hitting the ground is 0 m.