Question

Calculate the height (in m) of a cliff if it takes 2.24 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.03 m/s. (Enter a number.)

Answer 1

The height of the cliff is approximately 3.273 meters.

Step-by-step explanation:

In order to calculate the height of the cliff, we can use the equation for the motion of a falling object:

h = v02 / (2g)

Where h is the height, v0 is the initial vertical velocity, and g is the acceleration due to gravity (approximately 9.8 m/s2).

Given that the rock takes 2.24 seconds to hit the ground and has an initial velocity of 8.03 m/s, we can substitute these values into the equation:

h = (8.03 m/s)2 / (2 * 9.8 m/s2)

Simplifying this calculation gives us:

h = 3.273 m

Therefore, the height of the cliff is approximately 3.273 meters.