After leaving the runway, a plane's angle of ascent is 15 degrees and its speed is 272 feet per second. How many minutes will it

Question

3 years ago

13

takefor the airplane to climb to a height of 14,000 feet? Round anwer to two decimal places.

1 answer:

Mice21 [21] · Answer 1 · 2022-03-26T23:54:10+03:00

<h2>It takes 3.31 minutes the airplane to climb to a height of 14,000 feet</h2>

Step-by-step explanation:

Angle with horizontal = 15°

Velocity of plane = 272 feet per second angle of ascent is 15 degrees

Velocity of plane = 272 cos 15 i + 272 sin 15 j = 262.73 i + 70.40 j ft/s

Vertical velocity = 70.40 ft/s

Vertical displacement = 14000 ft

We have

Vertical displacement = Vertical velocity x Time

14000 = 70.40 x Time

Time = 198.87 seconds = 3.31 minutes

It takes 3.31 minutes the airplane to climb to a height of 14,000 feet