In the vertical jump, an athlete starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat the athlete as a particle and let ymax be his maximum height above the floor.

To explain why he seems to hang in the air, calculate the ratio of the time he is above ymax/2 moving up to the time it takes him to go from the floor to that height. You may ignore air resistance.

Solution Summary

This solution explains "hang time" of athletes when they jump in the air with calculations.

Time (s) Position (m)
40.40 8.000
41.40 13.050
42.00 21.000
An object is moving in a straight line with a constant acceleration,its position is measured at three different times, as shown in the table below.
Calculate the magnitude of the acceleration at t=41.40 s

For a distance vs. time plot,
A) Compare a graph of someone walking at a constant slow pace and a graph of someone walking at a constant fast pace. How are they similar? How are they different?
B) Compare a graph of someone walking toward a motion detector and a graph of someone walking away. How are they similar? How are

Demonstrate the use of graphs to model motion by explaining how such models are created, and how the interpretation of the results depend upon the assumptions made.

A .015 kg coin of diameter .013 m is spinning at 9 rev/s about a vertical diameter at a fixed point on a tabletop. a) If the coin spins about a vertical diameter at 9 rev/s while its center of mass travels in a straight line across the tabletop at .05 m/s, what is the angular momentum of the coin about a point on the line of mot

A coin with a diameter of 1.80 cm is dropped onto a horizontal surface. The coin starts out with an initial angular speed of 17.6 rad/s and rolls in a straight line without slipping. If the rotation slows with an angular acceleration of magnitude 1.72 rad/s2, how far does the coin roll before coming to rest?

This question will strengthen your concepts of linear motion. A graph showing variation of velocity of a car moving along a straight line is given. You are required to find acceleration of the car at different moments of time and its displacement.

At the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 3.20m/s^2. At the same instant a truck, traveling with a constant speed of 20.0m/s, overtakes and passes the car.
Answer these questions:
1) How far beyond its starting point does the

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Please do all problems step by step showing all math used and the equations. ANswers are given, but need to see how got answer. Skip the questions that given a sentence answer. Just do the math questions. Adult here doing his best to get this material. Thanks!
25. At ti

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5. Here we show several graphs of position as functions of time...
4. Shown below is a graph of the position of an object as a function of time...
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