Alan is jogging at a speed of 5 m/s at an angle of 120 degree with respect to th

Question

Alan is jogging at a speed of 5 m/s at an angle of 120 degree with respect to the positive x-axis. Write his velocity in component form. A = 8.0 i -4.0 j, B = -3.0 i +3.0 j and C = A + 4 B. Write C in magnitude/angle form. Sketch the three vectors. Patricia is walking at 3 m/s such that the x component of her velocity is 1 m/s. Write her velocity in component form. What is its angle? (There are two possible solutions. Find both.) A helicopter flies upwards at a speed of 6.0 m/s next to a pyramid. What is the component of the helicopter's velocity in the direction going along and up the pyramid's face?

Explanation / Answer

v = 5cos120 i + 5sin120 j = -2.5 i + 4.33 j

c = A+4B = -4 i + 8 j

u = 3

ucosA = 1

A = cos^-1(1/3) = 70.52 deg

u = i + 2.83 j

4) along the pyramid = 6cos60 = 3 m/s

up = 6sin60 = 5.2 m/s

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