Question

A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 5.40 m/s2. Secret agent Austin Powers jumps on just as the helicopter lifts off the ground. After the two men struggle for 10.80 s, Powers shuts off the engine and steps out of the helicopter. Assume that the helicopter is in free fall after its engine is shut off and ignore effects of air resistance. What is the maximum height above ground reached by the helicopter?

Answer 1

314.92 m

Step-by-step explanation:

Acceleration of the helicopter = 5.4 m/s² = a

Time taken by the helicopter to reach maximum height = 10.8 s = t

Initial velocity = 0 = u

Final velocity = v

Displacement = s

Equation of motion

`s=ut+(1)/(2)at^2\\\Rightarrow s=0* 10.8+(1)/(2)5.4* 10.8^2\\\Rightarrow s=314.92\ m`

Maximum height above ground reached by the helicopter is 314.92 m