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

The horizontal speed is approximately 29 m/s.

Step-by-step explanation:

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

The horizontal speed can be determined by:

R = U
`\sqrt{(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{(2*37)/(9.8) }`

= U
`\sqrt{(74)/(9.8) }`

= U
`√(7.55102)`

80 = 2.747912U

⇒ U =
`(80)/(2.747912)`

= 29.1130

U ≅ 29 m/s

The horizontal speed is approximately 29 m/s.