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Velocity and Acceleration Vectors

I am having trouble figuring out the velocity and acceleration vectors. I am given the form xi+yJ+zk
where for example
x(t) is (1-t)cos4 pi t
y(t) = (1-t) sin 4 pi t
z(t) = (1-t)

t is supposed to be between 0 and 1

I know that v(t) is the first deriv. and a(t) is the second deriv. but I am not sure how to proceed with the differentation. do I move the (1-t) over or leave it as is? Any help would be appreciated.

Solution Summary

Velocity and acceleration are investigated. The solution is detailed and well presented.