A rocket-powered hockey puck moves on a horizontal frictionless table. The figure below shows the graphs of vx and vy, the x- and y-components of the puck’s velocity. The puck starts at the origin.

The graph of the X-velocity is v=8t cm/s and the Y-velocity is V=30cm/s

Part A
In which direction is the puck moving at t = 2 s ? Give your answer as an angle from the x-axis.
Express your answer using two significant figures.

Part B
How far from the origin is the puck at 3 s ?
Express your answer to two significant figures and include the appropriate units.

  1. 👍 1
  2. 👎 2
  3. 👁 8,573
  1. A. X = 8*2 = 16 cm/s. Y = 30 cm/s.
    Tan A = Y/X = 30/16 = 1.875.
    A = 61.9o

    B. X = 8*3 = 24 cm/s. Y = 30 cm/s.
    Dx = 24cm/s * 3s = 72 cm.
    Dy = 30cm/s * 3s = 90 cm.

    D = sqrt(Dx^2 + Dy^2) =

    1. 👍 3
    2. 👎 24
  2. 115.256 cm

    1. 👍 0
    2. 👎 10
  3. B. X = (1/2)(a)(t)^2 = (1/2)(8)(3)^2 = 36 cm
    Y = (v(0))(t) = (30)(3) = 90cm
    D = sqrt(x^2+y^2) = sqrt(36^2+90^2) = sqrt(9396)

    ~ 97 cm

    1. 👍 4
    2. 👎 3
  4. I don't know

    1. 👍 0
    2. 👎 3

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