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11 June, 17:42

A parachutist with a camera, both descending at a speed of 10.8 m/s, releases that camera at an altitude of 60 m. In this problem, take "up" to be positive. What is the velocity of the camera just before it hits the ground?

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  1. 11 June, 20:05
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    The velocity of the camera just before it hit the ground = 35.97 m/s.

    Explanation:

    Velocity: This can be defined as the ratio of the displacement of a body to the time. Velocity is a vector quantity, and as such it can be represented both in magnitude and direction.

    From the equation of motion,

    v² = u² + 2gs ... Equation 1

    Where v = final velocity, u = initial velocity, g = acceleration due to gravity, s = distance.

    Note: Before the velocity of the camera before it hits the ground = The final velocity of the camera.

    Given: u = 10.8 m/s, s = 60 m. g = 9.81 m/s.

    Substituting into equation 1,

    v² = 10.8² + 2 (9.81) (60)

    v² = 116.64+1177.2

    v² = 1293.84

    v = √ (1293.84)

    v = 35.97 m/s.

    Hence the velocity of the camera just before it hit the ground = 35.97 m/s.
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