   Chapter 13.4, Problem 4E

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.4. r ( t ) = 〈 t 2 , 1 / t 2 〉 ,   t =1

To determine

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

Explanation

Given:

r(t)=t2,1t2 and t=1.

Formula used:

Write the expression to find the velocity.

v(t)=r(t)

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

Substitute t2,1t2 for r(t) in equation (1),

v(t)=ddt(t2,1t2

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