A plane drops a hamper of medical supplies from a height of 2960 m during a prac

Question

A plane drops a hamper of medical supplies from a height of 2960 m during a practice run over the ocean the planes horizontal velocity was 134 m/s at the instant the hamper was dropped what is the magnitude of the overall velocity of the hamper at the instant it strikes the surface of the ocean acceleration of gravity is 9.8 m/s squared A plane drops a hamper of medical supplies from a height of 2960 m during a practice run over the ocean the planes horizontal velocity was 134 m/s at the instant the hamper was dropped what is the magnitude of the overall velocity of the hamper at the instant it strikes the surface of the ocean acceleration of gravity is 9.8 m/s squared

Explanation / Answer

This is a pro jectile motion problem. The motion of the dropping hamper consists of two
parts: horizontally, it moves with the initial velocity of the plane, i.e. Vh= 134 m/s ;
vertically, due to Gravity, it moves as a freely falling body. Applying the equation above
gives the vertical velocity as
Vv = underroot of 2 g h
= 240.86 m/s
Thus the overall velocity at the instant the hamper strikes the surface of the ocean is
Vf = underroot of (Vv2 + Vh2)
= underroot of (240.86 m/s )2 + (134 m/s )2
= 275.63 m/s

Overall velocity of hamper is 275.63 m/s

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