An object has the following position vector: r(t) = (3m – (14 m/s3)t3)i + ((15 m/s)t + (0.5 m/s2)t2)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?