Question

The graph shows the vertical displacement y, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds, x.
(a) What is the weight’s maximum displacement?
(b) From its resting position, how long does it take the weight to bounce one direction, then the other, and then return to its resting position?
(c) What are the period and the amplitude of the function?
(d) What is the graph’s frequency and what does it indicate in this situation?
(e) How is the weight moving during the time period x = 4 to x = 5?

Answer 1

A.) Maximum weight's displacement = 14 cm  [ Mentioned in the Graph by their peak points ]
B.) For 1 complete cycle, it takes = 3 seconds
C.) Graph frequency = 12cm/sIt represents the number of waves per second.
D.) During x=6 to x=7.5, It bounces to one direction, and come to it's original position i.e., on the x-axis