The position of a volleyball is given by the function:
š„(š”) = (2 m s3)ā š”3 ā (9 m s2ā )š”2 + (12 m sā )š” + 3 m
A) At what times does the volleyball reach its turning point? (Hint: What is the instantaneous
velocity of the volleyball at the turning point?)
B) What is the position of the volleyball at š” = 0 s, š” = 0.5 s, š” = 1 s, š” = 2 s, and š” = 2.5 s?
C) What is the total distance traveled by the volleyball between š” = 0 s and š” = 2.5 s?
D) What is the displacement vector (magnitude and direction) of the volleyball from š” = 0 s and
š” = 2.5 s?
E) What is the average speed of the volleyball between š” = 0 s and š” = 2.5 s?
F) What is the average velocity (magnitude and direction) of the volleyball between š” = 0 s and
š” = 2.5 s?
G) What is the instantaneous velocity (magnitude and direction) of the volleyball at š” = 1.5 s