A ball is thrown from the ground so that it’s initial vertical and horizontal components of velocity are 40m/s and 20m/s respectively. Find

Question

A ball is thrown from the ground so that it’s initial vertical and horizontal components of velocity are 40m/s and 20m/s respectively. Find the ball’s total time of flight and distance it traverses before hitting the ground.

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Thiên Ân 3 years 2021-08-11T04:25:23+00:00 1 Answers 18 views 0

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  1. Sigrid
    0
    2021-08-11T04:26:44+00:00
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    Answer:

    8 seconds

    160 meters

    Explanation:

    Given in the y direction:

    Δy = 0 m

    v₀ = 40 m/s

    a = -10 m/s²

    Find: t

    Δy = v₀ t + ½ at²

    0 m = (40 m/s) t + ½ (-10 m/s²) t²

    0 = 40t − 5t²

    0 = 5t (8 − t)

    t = 0 or 8

    Given in the x direction:

    v₀ = 20 m/s

    a = 0 m/s²

    t = 8 s

    Find: Δx

    Δx = v₀ t + ½ at²

    Δx = (20 m/s) (8 s) + ½ (0 m/s²) (8 s)²

    Δx = 160 m

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