The velocity of a particle moving in the v xy plane is given by (6.0t 4.0t2)i 8.0j, with

Chapter 4, Problem 16

(choose chapter or problem)

The velocity \(\vec{v}\) of a particle moving in the xy plane is given by \(\vec{v}=\left(6.0 t-4.0 t^{2}\right) \hat{\mathrm{i}}+8.0 \hat{\mathrm{j}}\), with \(\vec{v}\) in meters per second and t (> 0) in seconds.

(a) What is the acceleration when t = 3.0 s?

(b) When (if ever) is the acceleration zero?

(c) When (if ever) is the velocity zero?

(d) When (if ever) does the speed equal 10 m/s?

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