Question

A helicopter is moving at a horizontal speed when it drops a container so it lands with a range of 80 meters. If the helicopter is 37 meters from the ground what is its horizontal speed? (10 points)

Answer 1

Answer:

The horizontal speed is approximately 29 m/s.

Explanation:

Given that; range = 80 meters, height = 37 meters.

The horizontal speed can be determined by:

R = U$\sqrt{\frac{2H}{g} }$

Where R is the range, U is the velocity of the object, H is the height and g is the acceleration due to gravity (9.8 m/$s^{2}$).

So that:

80 = U$\sqrt{\frac{2*37}{9.8} }$

     = U$\sqrt{\frac{74}{9.8} }$

     = U$\sqrt{7.55102}$

80 = 2.747912U

⇒ U = $\frac{80}{2.747912}$

       = 29.1130

U ≅ 29 m/s

The horizontal speed is approximately 29 m/s.