Answer to Question #133748 in Physics for Sydney

Question

5. An airplane accelerates down a runway at 3.7 m/s2 for 30.8s until it finally lifts off the ground. Determine the distance traveled before takeoff.

Answer 1

A distance trevelled by a body with a constant acceleration (starting from the rest) is given by the following expression:

$$d = \dfrac{at^2}{2}$$

where $a = 3.7m/s^2$ is the acceleration and $t = 30.8s$ is the time of trevelling. Thus, obtain:

$$d = \dfrac{at^2}{2} = \dfrac{3.7\cdot 30.8^2}{2} =1754.984m$$

Answer. 1754.984 m.