a rock is dropped off a very high cliff and reaches the ground 6.00s later

1 answer

Assuming the acceleration due to gravity is -9.81 m/s^2 and neglecting air resistance, we can determine the height of the cliff using the equation:

h = 1/2 * g * t^2

where h is the height of the cliff, g is the acceleration due to gravity, and t is the time it takes for the rock to reach the ground.

Plugging in the values:

h = 1/2 * 9.81 * (6)^2
h = 1/2 * 9.81 * 36
h = 4.905 * 36
h = 176.58 meters

So, the height of the cliff is approximately 176.58 meters.