Calculating Horizontal Distance of Remote-Controlled Car Falling off a Cliff

Explanation:

Step 1: Find the time it takes for the car to hit the bottom of the cliff.

The formula to calculate the time taken to hit the bottom is:

d = 1/2 at^2

Given that the height of the cliff is 9.00 m and acceleration due to gravity is 9.81 m/s^2:

9 m = 1/2 (9.81 m/s^2) (t^2)

Solving for time (t) gives:

t = 1.35 s

Step 2: Calculate the horizontal displacement of the car.

Horizontal displacement can be found using the formula:

x = rate * time

Given that the horizontal velocity of the car is 24.40 m/s and time taken to hit the bottom is 1.35 s:

x = 24.40 m/s * 1.35 s = 33.1 m

Therefore, the remote-controlled car lands at a horizontal distance of 33.1 meters from the bottom of the cliff.