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

Question

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

Quizplus · Accepted Answer

The Answer is B

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