The equation r(t) = (3t+ 9) i + (8t - 2) j+ (4t) k is the position of a particle in space at timet. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t= 0 as a product of its speed and direction. What is the velocity vector? v(t) = i+ )j+ k

The equation r(t) = (3t+ 9) i + (8t - 2) j+ (4t) k is the position of a particle in space at timet. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t= 0 as a product of its speed and direction. What is the velocity vector? v(t) = i+ )j+ k

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...

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Question

Solve please

The equation r(t) = (3t+ 9) i + (8t - 2) j+ (4t) k is the position of a particle in space at timet. Find the particle's velocity and acceleration vectors. Then
write the particle's velocity at t= 0 as a product of its speed and direction.
What is the velocity vector?
v(t) =
i+ )j+
k

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