A tennis ball is hit with a speed of 30 m/s at an angle of 40 degrees above the horizontal. What is the range of the ball?

90.44 m

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 30 m/s

Angle of projection (θ) = 40°

Acceleration due to gravity (g) = 9.8 m/s²

Range (R) =?

The range of the ball can be obtained as follow:

R = u² Sine 2θ / g

R = 30² Sine (2×40) / 9.8

R = 900 Sine 80 / 9.8

R = 900 × 0.9848 / 9.8

R = 886.32 / 9.8

R = 90.44 m

Therefore, the range of the tennis ball is 90.44 m