A stunt man projects himself horizontal from a height of 60m. He lands 150m away from where he was launched. How fast was he launched?

Question

A stunt man projects himself horizontal from a height of 60m. He lands 150m away from where he was launched. How fast was he launched?
A.) 54.87 m/s
B.) 43.98 m/s
C.) 47.46 m/s
D.) 42.87 m/s

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MichaelMet 6 months 2021-07-24T12:02:34+00:00 1 Answers 3 views 0

Answers ( )

    0
    2021-07-24T12:03:57+00:00

    Answer:

    D) 42.87 m/s

    Explanation:

    First, find the time it takes him to land.  Given in the y direction:

    Δy = 60 m

    v₀ = 0 m/s

    a = 9.8 m/s²

    Find: t

    Δy = v₀ t + ½ at²

    60 m = (0 m/s) t + ½ (9.8 m/s²) t²

    t = 3.5 s

    Next, find the speed needed to travel the horizontal distance in that time.  Given in the x direction:

    Δx = 60 m

    a = 0 m/s²

    t = 3.5 s

    Find: v₀

    Δy = v₀ t + ½ at²

    150 m = v₀ (3.5 s) + ½ (0 m/s²) (3.5 s)²

    v₀ = 42.87 m/s

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