Let R(t) = 4t I + 3sin(t) J - 3cos(t)

Multiple Choice

Let r(t) = 4t i + 3sin(t) j - 3cos(t) k be a differentiable vector function giving the position r of a particle at time t. Find the speed of the particle at time t = seconds.

A) 5.5 units/s
B) 5.0 units/s
C) 4.5 units/s
D) 4.0 units/s
E) 3.5 units/s