Answered

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A particle moves along the r-axis with velocity at time 0 <1 < 6 given by v1) =-1+eDuring what intervals of time is the particle moving to the right?

A Particle Moves Along The Raxis With Velocity At Time 0 Lt1 Lt 6 Given By V1 1eDuring What Intervals Of Time Is The Particle Moving To The Right class=

Sagot :

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given functions and intervals

[tex]\begin{gathered} v(t)=-1+e^{1-t} \\ Interval\text{ for time\lparen x\rparen}=0\leq t<6 \end{gathered}[/tex]

STEP 2: Plot the graph

STEP 3: Calculate the interval for t for which the particle moves to the right

The interval to look out for will be the values of x where the function v(t) is below the origin and falls on the right part of the origin of the graph.

Hence, the interval for t will be:

[tex]1
View image CanyonW581031
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