Physics question?

A particle moves so that its position as a function of time is r(t) = 2t (m/s) i + 4t^2 (m/s) j - 3 (m) k a. Write expressions for its velocity and acceleration as functions of time. b. What is the shape of the particle’s trajectory? In other words, how is it moving with respect of the x, y and z axes? Describe... show more A particle moves so that its position as a function of time is

r(t) = 2t (m/s) i + 4t^2 (m/s) j - 3 (m) k

a. Write expressions for its velocity and acceleration as functions of time.

b. What is the shape of the particle’s trajectory? In other words, how is it moving with respect of the x, y and z axes? Describe each direction separately by making a graph of the direction with respect to time.

c. What is the particle’s displacement from t=0 to t=3.00 s?
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