Question

1. A player kicks a football from ground level with an initial velocity of 22m/s, 35° above the horizontal. Assume that air resistance is negligible. Find the ball’s hang time.

a. Find the maximum height of the ball in question 2.

b. Find the ball’s range from question 2.

Answer 1

2.57 s

8.12 m

46.4 m

Step-by-step explanation:

1. In the y direction:

s = 0 m

u = 22 sin 35° m/s = 12.6 m/s

a = -9.8 m/s²

Find: t

s = ut + ½ at²

0 = (12.6) t + ½ (-9.8) t²

t = 2.57 s

2. In the y direction:

u = 12.6 m/s

v = 0 m/s

a = -9.8 m/s²

Find: s

v² = u² + 2as

0² = (12.6)² + 2 (-9.8) s

s = 8.12 m

3. In the x direction:

u = 22 cos 35° m/s = 18.0 m/s

a = 0 m/s²

t = 2.57 s

Find: s

s = ut + ½ at²

s = (18.0) (2.57) + ½ (0) (2.57)²

s = 46.4 m