physics

A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are v0x = +8.3 m/s and ax = +8.8 m/s2. The y components of the puck's initial velocity and acceleration are v0y = +9.6 m/s and ay = -6.1 m/s2. Find (a) the magnitude v and (b) the direction è of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis.

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  1. V = Vo + at.

    V(hor) = 8.3 + 8.8*0.5 = 12.7m/s.

    V(ver) = 9.6 + (-6.1)*0.5 = 6.55m/s.

    a. V^2 = (12.7)^2 + (6.55)^2 = 204.19,
    V = sqrt(204.19) = 14.3m/s = Magnitude.

    b. tanA = Y/X = 6.55 / 12.7 = 0.516,
    A = 27.3Deg. = Direction.

    V = 14.3m/s @ 27.3Deg.

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