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An airplane accelerates down a runway at 4 m/s2 for 24 s until it finally lifts off the ground. Determine the distance traveled before takeoff.

Question

An airplane accelerates down a runway at 4 m/s² for 24 s until it finally lifts off the ground. Determine the distance traveled before takeoff.

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Solution

To determine the distance traveled before takeoff, we can use the equation:

distance = initial velocity * time + (1/2) * acceleration * time^2

Given: initial velocity (u) = 0 m/s (since the airplane starts from rest) acceleration (a) = 4 m/s^2 time (t) = 24 s

Plugging in these values into the equation, we get:

distance = 0 * 24 + (1/2) * 4 * (24)^2

Simplifying the equation:

distance = 0 + (1/2) * 4 * 576

distance = 0 + 2 * 576

distance = 0 + 1152

Therefore, the distance traveled before takeoff is 1152 meters.

This problem has been solved

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