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
