   Chapter 13.4, Problem 7E

Chapter
Section
Textbook Problem

# Find the velocity, acceleration, and speed of a panicle with the given position function. Sketch the path of the particle and draw the velocity and acceleration vectors for the specified value of t.7. r(t) = t i + t2 j + 2k, t = 1

To determine

To find: The velocity of a particle at t=1.

Explanation

Given:

r(t)=ti+t2j+2k and t=1.

Formula used:

Write the expression to find the velocity:

v(t)=r(t)

v(t)=ddt[r(t)] (1)

Substitute ti+t2j+2k for r(t) in equation (1),

v(t)=ddt(ti+t2j+2k)=d

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