An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff. give me a quick equation
To determine the distance traveled before takeoff, you can use the equation:
distance = initial velocity * time + 0.5 * acceleration * time^2
In this case, the initial velocity is 0 m/s (since the airplane starts from rest on the runway), the acceleration is 3.20 m/s^2, and the time is 32.8 s. Plugging in these values:
distance = 0 * 32.8 + 0.5 * 3.20 * (32.8)^2
distance = 0 + 0.5 * 3.20 * 1075.84
distance = 0 + 1721.344
distance ≈ 1721.34 meters
Therefore, the distance traveled before takeoff is approximately 1721.34 meters.