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style=”color:rgb(0,0,0);background-color:transparent;”>The position of a particle in space at time t is r left parenthesis t right parenthesis

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style=”color:rgb(0,0,0);background-color:transparent;”>The position of a particle in space at time t is r left parenthesis t right parenthesis

r(t) as shown below. Find the​ particle’s velocity and acceleration vectors. Then find the​ particle’s speed and direction of motion at tequals

=1

1. Write the​ particle’s velocity at that time as the product of its speed and direction.

r left parenthesis t right parenthesis

r(t)equals

=left parenthesis 2 ln left parenthesis t plus 1 right parenthesis right parenthesis

(2ln(t+1))iplus

+t squared

t2jplus

+StartFraction t squared Over 2 EndFraction

t22k ATTACHMENT PREVIEW Download attachment

0731.jpg

0731.jpg

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