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Problem 7: The catapult hurls a stone of mass 32.0 g with a velocity of 50 m/s at a 30.0° of elevation. (a) What is the maximum height reached by the stone? (b) What is its range? (c) How long has the stone been in air when it returns to its original height?

Given        mass of the stone = 32.0 g,          initial velocity, vi = 50 m/s

                  Angle of elevation, θ = 30°

Required                             (a) Maximum height, H                 (b) Horizontal distance, R

(c) Time of flight

Formulae

Put values in the above formulas,

(a) Maximum height

The stone goes 31.88 m high.

(b) Horizontal range

This is the horizontal range of the stone.

Time of flight

This is the time of flight of the stone.

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