Question

A physics student stands on the rim of the canyon and drops a rock. The student measures the time for it to reach the bottom to be 3.2 seconds. How deep is the canyon?

Answer 1

Canyon is 50.176 meter deep.

Step-by-step explanation:

The students is standing on the rim of the canyon and drops down a rock from the rim(cliff). We have to find what is the depth of the canyon i.e. how much below is the ground from the cliff.

Given data:

Time = t = 3.2 s

Initial velocity =
`v_(i)` = 0 m/s

Gravitational acceleration = g = 9.8 m/s²

Height = h = ?

According to second equation of motion

`h = v_(i)t + (1)/(2)gt^(2)`

As initial velocity is zero, So the first term of right hand side of above equation equal to zero

`h = (1)/(2)gt^(2)`

h = (0.5)(9.8)(3.2)²

h = 50.176 m

This means, the rock traveled 50.176 meters to reach the bottom of the Canyon. So, the Canyon is 50.176 meter deep.