The graph shows the kinematics (vertical position, velocity, and acceleration) o

Question

The graph shows the kinematics (vertical position, velocity, and acceleration) of the center of gravity of a diver and the reaction force of the diving boar during the takeoff phase for a 3 1?2 backward somersault dive in the tuck position.

a) At what time(s) (approximately) does the displacement of the diver change direction? How many times does this occur during the takeoff phase of the dive?

b) When does the center of gravity accelerate in the upward direction and when does it accelerate in the downward direction?

c) What is the relationship between the diver’s acceleration curve and the reaction force curve?

d) What is the relationship between the diver’s position and reaction force curves?

Explanation / Answer

part a

3 times in this graph

and take off time is 2 times ( take off mean when it raise in displacement in positive direction)

part b

as shown in figure below O to A , and B to C acceleration upward , rest point is downward

part c

in starting when reaction force is equal to weight acceleration is zero after this point acceleration increase simultaneously and decrease when reaction force decrease

we know a is proportional to F

part d

till S displacement of diver is positive after it start decreasing because curve is in negative side and till force become lesser then weight

and when the reaction force value is grater then displacement again in its original direction

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