Mathematics of Physics and Engineering

Velocity and Acceleration 37

EXERCISE 1.3.17.A Let (r(t),9(t)) be the polar coordinates of a 2-D motion
of a point mass m in a fixed frame O. Let r(t) = St and 9(t) — 2t. Sketch
the trajectory of the point in the frame O for 0 < t < 5 and verify the result
using a computer algebra system. Compute the velocity and acceleration
vectors in the frame O in terms of the unit vectors r, 6.