Answer :

To find the vertical drop, you can use the kinematic equation for vertical motion:

d = 1/2gt^2

Where:

- d is the vertical distance dropped,

- g is the acceleration due to gravity (approximately (9.8m/s^2\)),

- t is the time taken to fall.

First, let's find the time taken to fall using the horizontal motion:

v = d/t

Given that v = 6.89m/s and d = 23.5m, we can rearrange the equation to solve for t:

t = d/v

t = 23.5m/6.89m/s

t ≈ 3.41s

Now, plug t into the equation for vertical motion:

d = 1/2 times 9.8m/s^2 times (3.41s)^2

d ≈ 1/2times 9.8m/s^2 times 11.6281s^2

d ≈ 56.9854m

So, the boulder dropped approximately 56.99m.