# Mastering Physics Chapter 1 & 2 Homework – Clear the Runway

To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required for the takeoff, the takeoff velocity, depends on several factors, including the weight of the aircraft and the wind velocity.

A plane accelerates from rest at a constant rate of 5.00 $m/s^2$ along a runway that is 1800 m long. Assume that the plane

tTO = 26.8 s

What is the speed vTO of the plane as it takes off?

vTO = 134 m/s

What is the distance dfirst traveled by the plane in the first second of its run?

dfirst = 2.50  m

What is the distance dlast traveled by the plane in the last second before taking off?

dlast = 132  m

What percentage of the takeoff velocity did the plane gain when it reached the midpoint of the runway?

70  %