Question

A particle's trajectory is described by…

A particle's trajectory is described by x=(.5t^3 – 2t^2)m and y=(.5t^2 – 2t)m, where t is in s.
1) What is the particle's speed at t=0s? ______m/s
2) What is the particle's speed at t=3.5s? _____m/s
3) What is the particle's direction of motion, measured as an angle from the x-axis, at t=0s? theta=_____degrees counterclockwise from the +x axis.
4) What is the particle's direction of motion, measured as an angle from the x-axis, at t=3.5s? theta=_____degrees counterclockwise from the +x axis.

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