The equation r (t) = (8t + 5)i + (8t^2 - 2)j + (6t )k is the position of a particle in space at time t. find the particle's velocity and acceleration vectors. then write the particle's velocity at t equals 0 as a product of its speed and direction. what is the velocity vector?

The particle's velocity is  the derivative of the particle's position. The particles's acceleration is the derivative of the particle's velocity. You can compute the velocity and acceleration as follows:

Step-by-step explanation:

The velocity at is .

The speed at t=0 is . Then, the velocity at t=0 written as a product of the speed at t=0 and the direction at t=0 is

what do u need to know

step-by-step explanation:

i believe the answer is 323 ft

step-by-step explanation: