A ball is thrown horizontally at a speed of 24 meters per second from the top of a cliff. If the ball hits the ground 4.0 seconds later, approximately how high is the cliff? I NEED HELP FOR THIS QUIZ LOL

78.4m

Explanation:

In these situations, vertical and horizontal components need to be considered separately;

So, horizontal speed is irrelevant since we are talking about vertical height, i.e. the height of the cliff;

But, the fact that the speed is horizontal is relevant because this means the vertical speed initially is 0m/s;

The downwards movement of the ball is due to gravity, which is 9.8m/s²;

The time is given as 4.0s from the top of the cliff to the bottom;

We know the acceleration, time and initial speed so we can use this kinematic equation to solve for distance:

s = ut + ¹/₂at²

s = displacement (/distance)

u = initial vertical velocity = 0

t = time (time taken for the ball to fall) = 4

a = acceleration (downwards) = 9.8

Substitute these values into the equation to get the distance:

s = 0(4) + ¹/₂(9.8)(4)²

s = 78.4m

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.