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March 29, 2017

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An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.20 s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90 s. Finally, it turns another 70.0 degrees to the left and walks another 10.0 cm in 1.60 s.

a)Determine the x component of the ant's average velocity.

b)Determine the y component of the ant's average velocity.

c)Determine the magnitude of ant's average velocity.

d)Determine the direction of ant's average velocity.

  • physics - ,

    a. Velocity vectors:
    V1 = 10 cm / 2.2 s = 4.55 cm / s @ 0 deg.

    V2 = 10 cm / 1.9 s = 5.26 cm / s @ 30 deg.

    V3 = 10 cm / 1.6 s = 6.25 cm / s @ 100 deg.

    X = hor = 4.65 + 5.26*cos30 + 6.25*cos100 = 4.65 + 4.56 + (-1.08),
    X = 8.12 cm / s.


    b. Y = ver = 5.26*sin30 + 6.25*sin100,
    = 2.63 + 6.16 = 8.79 cm / s.

    c. Z^2 = X^2 + Y^2,
    = (8.12)^2 + (8.79)^2,
    = 65.93 + 77.26,
    = 143.19,
    Z = sqrt(143.19) = 11.97 cm / s
    = Magnitude.

    d. tanA = Y / X = 8.79 / 8.12=1.08,
    A = 47.3 deg CCW = 42.7deg. E of N.
    = Direction.

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