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17 October, 05:23

A student fires a cannonball horizontally with a speed of 39m/s from a height of

73m. Neglect drag.

What was the cannonball's initial horizontal speed?

What was the cannonball's initial vertical speed?

How long did the ball remain in the air?

How far from the base of the building will the ball land (measured along the

ground) ?

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Answers (1)
  1. 17 October, 08:41
    0
    The initial horizontal speed is 39 m/s, and the initial vertical speed is 0 m/s.

    v₀ₓ = 39 m/s

    v₀ᵧ = 0 m/s

    In the y direction:

    Δy = 73 m

    v₀ᵧ = 0 m/s

    aᵧ = 9.8 m/s²

    Find: t

    Δy = v₀ᵧ t + ½ aᵧt²

    73 = 0 + ½ (9.8) t²

    t = 3.9 s

    In the x direction:

    v₀ₓ = 39 m/s

    aₓ = 0 m/s²

    t = 3.9 s

    Find: Δx

    Δx = v₀ₓ t + ½ aₓt²

    Δx = (39) (3.9) + 0

    Δx = 150 m
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