Question

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?

Answer 1

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

STEP 1: Write the given functions and intervals

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

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