Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. How long will the ball be in the air before it lands? Round your answer to the nearest tenth.

Answer: 1.2 seconds

Explanation:

Initial velocity = u=13.9m/s

Acceleration due to gravity=g=9.8m/s^2

Φ=25°

Time=t

T = (2 x u x sinΦ) ➗ g

T = (2 x 13.9 x sin25) ➗ 9.8

T = (2 x 13.9 x 0.4226) ➗ 9.8

T=11.75 ➗ 9.8

T=1.2 seconds

1.2 seconds

Explanation:

If it takes t seconds to reach the max height, total time in the air is 2t seconds

v = u + at

0 = 13.9sin (25) - 9.8t

t = 0.5994279427

2t = 1.198855885