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Michael Jordan, formerly of the Chicago Bulls basketball team, has some fanatic fans. They claimed that he was able to jump and remain in the air for two full seconds from launch to landing. Evaluate this claim by calculating the maximum height that such a jump would attain. For comparison, Jordan's maximum jump height has been estimated at about one meter.I know how to solve the answer but i am wondering:how do you know that initial velocity is zero?????

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Answer:

Such jump would attain a 4.9m height, since Jordan's maximum height is estimated to be one meter, that claim is false.

Explanation:

Initial velocity is zero because it occurs at the point of maximum elevation where the upwards movement of the jump turns into downward movement induced by gravity.

Assuming that he could stay in the air for two seconds, it would take him 1 second to reach the apex and 1 second to come down.

Since initial velocity is zero and time is 1 second, with gravity acceleration (g) = 9.8 m/s2, final velocity is given as follows:

[tex]V_{f}=g*t= 9.8*1 = 9.8m/s\\[/tex]

Displacement can be found by the following formula:

[tex]y=\frac{1}{2} *(-g)*t^{2} +V*t[/tex]

[tex]y=\frac{1}{2} *(-9.8)*1^{2} +9.8*1[/tex]

[tex]y=4.9m[/tex]

Answer:

4.9m is the answer.

Explanation:

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