Question

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.

s



How far will the football travel before it lands? Round your answer to the nearest tenth.

m

Answer 1

Given v0 = 13.9 m/s, θ = 25.0°, g = 9.8 m/s^2.

Vertical component: v0y = v0 sinθ = 13.9 sin25° = 5.8744 m/s.
Time to rise = v0y/g = 5.8744/9.8 = 0.5994 s, so total time = 2(0.5994) = 1.1989 s ≈ 1.2 s.

Horizontal component: v0x = v0 cosθ = 13.9 cos25° = 12.5977 m/s.
Range = v0x * time = 12.5977 * 1.1989 = 15.1028 m ≈ 15.1 m.

Answers:
Time in air = 1.2 s
Range = 15.1 m