Question

How tall is the cliff if the stone was initially traveling at -15.5 m/s and hits the ground 8.5 seconds later?

Answer 1

The height of the cliff is approximately 352.525 meters.

Step-by-step explanation:

To calculate the height of the cliff, we can use the equation of motion for an object falling freely under the influence of gravity:

h = (1/2) * g * t^2

where h is the height of the cliff, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time taken for the stone to hit the ground.

Plugging in the values given in the question:

h = (1/2) * 9.8 * (8.5)^2

h = 0.5 * 9.8 * 72.25

h = 352.525 m

Therefore, the height of the cliff is approximately 352.525 meters.