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20 March, 09:20

An astronaut on the planet Zircon tosses a rock horizontally with a speed of 7.15 m/s. The rock falls through a vertical distance of 1.40 m and lands a horizontal distance of 8.95 m from the astronaut. What is the size of the acceleration due to gravity on Zircon

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  1. 20 March, 11:52
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    horizontal velocity, u = 71.5 m/s

    height, h = 1.4 m

    horizontal distance, d = 8.95 m

    Let the time is t and the value of acceleration at that planet is a.

    Use second equation of motion

    d = u t (acceleration in horizontal direction is zero)

    8.95 = 71.5 x t

    t = 0.125 s

    Use second equation of motion in vertical direction

    h = 1/2 at²

    1.4 = 1/2 x a x 0.125 x 0.125

    a = 17.2 m/s²
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