A particle with the potential energy shown in FIGURE Q10.8 is moving to the right at x

Question:

A particle with the potential energy shown in FIGURE Q10.8 is moving to the right at x = 5 m with total energy E.
a. At what value or values of x is this particle€™s speed a maximum?

b. Does this particle have a turning point or points in the range of x covered by the graph? If so, where?
c. If E is changed appropriately, could the particle remain at rest at any point or points in the range of x covered by the graph? If so, where?

PE - TE TX (m) 7 4 5 6 3 FIGURE Q10.8