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Physics- Vectors

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A bartender slides a beer mug at 1.4 m/s towards a customer at the end of a frictionless bar that is 1.8 m tall. The customer makes a grab for the mug and misses, and the mug sails off the end of the bar.
(a) How far away from the end of the bar does the mug hit the floor?

(b) What are the speed and direction of the mug at impact?

  • Physics- Vectors -

    do vertical problem first to find time in air
    1.8 = 4.9 t^2
    t = .606 seconds to fall
    so it lands
    d = 1.4 * .606 = .849 m from bar

    horizontal component of impact speed = 1.4 m/s
    to find vertical component
    v = 0 + 9.8(.606) = 5.34 m/s

    speed = sqrt (1.4^2 + 5.34^2)
    tan angle down from horizontal = 5.34/1.4

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