Question

A student throws a baseball horizontally at 25 meters per second from a cliff 45 meters above the level ground. Approximately how far from the base of the cliff does the ball hit the ground?

a. 75m
b. 100m
c. 125m
d. 150m

Answer 1

The ball hits the ground approximately 75 meters from the base of the cliff.

Step-by-step explanation:

To solve this problem, we can use the equations of motion for projectile motion. Since the ball is thrown horizontally, the initial vertical velocity is 0 m/s. We can use the equation d = (1/2)gt^2 to find the time it takes for the ball to fall from the cliff to the ground. Plugging in the values, we have 45 = (1/2)(9.8)t^2. Solving for t gives us t ≈ 3 seconds. Since the ball is thrown horizontally at a speed of 25 m/s, the distance it travels horizontally can be found using the equation d = vt. Plugging in the values, we have d = (25 m/s)(3 s) = 75 m. Therefore, the ball hits the ground approximately 75 meters from the base of the cliff. The correct answer is a. 75m.