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

ID: 1338867 • Letter: T

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 (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?

Position Velocity Acceleration o Reaction Body Weight Force 0 0.2 0.4 0.6 0.8 1.0 Time (s)

Explanation / Answer

a)

At 0.1, 0.4, 0.7 s the direction changes. The direction change takes place three times.

b)

At 0.1, 0.7 s the center of gravity accelerate in upward direction and 0.4s the center of gravity accelerate in downward direction.

c)

The acceleration curve is directly proportional to the reaction force curve.

F = ma

d)

F = ma

    = d^2x/dt^2

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