How Far Can a Movie Stunt Driver on a Motorcycle Speed Off a 50m High Cliff?

Calculating the Maximum Horizontal Distance

To determine the maximum horizontal distance that a movie stunt driver on a motorcycle can speed off a 50m high cliff, we can use the following equation:

Horizontal Distance = Velocity x Time

First, we need to calculate the time it takes for the motorcycle to reach the ground after speeding off the cliff. We can use the equation of motion:

s = ut + (1/2)at^2

Where: s = vertical distance (50m), u = initial vertical velocity (0 m/s, as the motorcycle is speeding horizontally), a = acceleration due to gravity (-9.81 m/s^2), and t = time taken to reach the ground.

Plugging in the values, we get:

50 = 0 + (1/2)(-9.81)t^2

Solving for t, we find that it takes approximately 3.19 seconds for the motorcycle to reach the ground.

Next, we can calculate the horizontal velocity of the motorcycle using the equation:

Velocity = Distance / Time

Assuming the motorcycle maintains a constant horizontal speed, the horizontal velocity will be the same as the initial horizontal speed before going off the cliff.

Now, we need to find the horizontal distance traveled using the calculated time and horizontal velocity:

Horizontal Distance = Velocity x Time

By substituting the values, we can determine the maximum horizontal distance that the movie stunt driver on a motorcycle can speed off a 50m high cliff.

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