Answer:
50.2 m
Explanation:
We can solve the problem by using the following SUVAT equation for the vertical position of the rock:
[tex]y(t)=h+ut+\frac{1}{2}gt^2[/tex]
where
h is the initial height (the depth of the canyon), taking the bottom of the canyon as reference position
u = 0 is the initial velocity of the rock
t is the time
[tex]g=-9.8 m/s^2[/tex] is the acceleration of gravity
When the rock reaches the bottom, t = 3.2 s and y = 0. Substituting these numbers and solving for h, we find the depth of the canyon:
[tex]h=\frac{1}{2}gt^2 = -\frac{1}{2}(-9.8)(3.2)^2=50.2 m[/tex]
