Question

Approximately how much more quickly (in mph) does a pilot traveling 400 mph and rising at an angle of 30o gain altitude versus a pilot traveling 300 mph and rising at an angle of 40o? 6 7 8

Answer 1

First pilot will gain altitude faster by 7.16 mph than second pilot.

Explanation:

In this question we will calculate the y component of the velocity by which the pilots are gaining height. Means we will analyze which pilot will gain the altitude early.

For the first pilot vertical component of the velocity will be

v = 400 × sin30° = 400 × (1/2) = 200 mph

For second pilot vertical component of the speed is

v' = 300 × sin40° = 300 × (0.642) = 192.84 mph

Therefore pilot 1 will gain altitude faster then pilot 2 by

200 - 192.84 = 7.16 mph.