Question

your friend throws a rock off a cliff straight down with an initial speed of 10.0 m/s using a stopwatch you determine it takes the rock 3.2 s to hit the ground below. how high is the cliff

Answer 1

The height of the cliff is 82.176 meters.

Step-by-step explanation:

To calculate the height of the cliff, we can use the kinematic equation for vertical motion. The equation is:

h = v0t + 0.5gt2

where h is the height of the cliff, v0 is the initial velocity (10.0 m/s), t is the time (3.2 s), and g is the acceleration due to gravity (9.8 m/s2).

Plugging in the values, we get:

h = (10.0 m/s)(3.2 s) + 0.5(9.8 m/s2)(3.2 s)2

Simplifying the equation gives us:

h = 32 m + 50.176 m = 82.176 m

Therefore, the height of the cliff is 82.176 meters.