Physics

Problem 2-
1. As a ship is approaching the dock at 45 cm/s, an important piece of landing equipment needs to
be thrown to it before it can dock. This equipment is thrown at 15.0 m/s at 60∘ above the horizontal from the top of a tower at the edge of the water, 8.75 m above the ship's deck as show in the figure. For this equipment to land at the front of the ship, at what distance D from the dock should the ship be when the equipment is thrown?

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  1. The equipment travels along a parabola such that its height at time t is given by

    y = 8.75 + 13t - 4.9t^2
    Solve for t when y=0 to see how long it will take to hit the deck.

    Then, you know how far from the tower the package will hit, since its horizontal speed is 7.5 m/s.

    Add that distance to the distance the ship travels in that time, to get D.

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  2. 23.625

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