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.
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.
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