Question

Steve kicks a stone horizontally at 9 m/s from a cliff 52 m high. How far from the base of the cliff does the stone strike the ground?

Option 1: 4.5 meters
Option 2: 18 meters
Option 3: 36 meters
Option 4: 72 meters

Answer 1

To find the horizontal distance traveled by the stone, we can use the equation: distance = velocity * time. The stone will strike the ground approximately 47.79 meters from the base of the cliff.

Step-by-step explanation:

To solve this problem, we can use the equations of motion. The stone is kicked horizontally, so it has a constant horizontal velocity of 9 m/s. The time taken for the stone to hit the ground can be found using the equation: time = 2 * height / g. In this equation, height is the initial height of the cliff (52 m) and g is the acceleration due to gravity (9.8 m/s^2). Plugging in the values, we get time = 2 * 52 / 9.8 = 5.31 seconds. Now, to find the horizontal distance traveled by the stone, we can use the equation: distance = velocity * time. Plugging in the values, we get distance = 9 * 5.31 = 47.79 meters. Therefore, the stone will strike the ground approximately 47.79 meters from the base of the cliff. None of the given options are correct.