Question: As part of a movie stunt, a full-size remote-controlled car is driven horizontally off a 9.00 m tall cliff at 24.40 m/s. How far (Îx) from the bottom of the cliff does the car land?

Answer: By using the given data of the height of the cliff and the initial velocity of the car, we can calculate the horizontal distance the car lands from the bottom of the cliff.

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

11 Oct 2023

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.

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