An object has the following position vector: **r**(t) = (3m – (14 m/s^{3})t^{3})**i **+ ((15 m/s)t + (0.5 m/s^{2})t^{2})**j** + (–2.4 m + (0.9 m/s)t) **k**.

a) What is the velocity vector of the object?

b) What is the acceleration vector of the object?

c) At t = 7 s, what is the object’s distance from the origin?

d) At t = 4 s, what is the x-component of the object’s velocity?

e) At t = 2.5 s, what is the object’s speed?

f) At t = 5.5 s, what is the object’s acceleration?

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