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A body is thrown vertically upwards at 36 m/s. What is the maximum height reached by...

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jimsteven | Student, Undergraduate | Salutatorian

Posted September 23, 2013 at 1:31 PM via web

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A body is thrown vertically upwards at 36 m/s. What is the maximum height reached by the body. Does this depend on the mass of the body.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 23, 2013 at 1:38 PM (Answer #1)

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A body is thrown vertically upwards with a velocity 36 m/s. If it is thrown up on the Earth, there is a downward acceleration due to gravity equal to 9.8 m/s^2. This acceleration is the same for all bodies and is not dependent on their mass.

Use the formula `v^2 - u^2 = 2*a*s` where u is the initial velocity of a body, v is the final velocity, a is the acceleration of the body and s is the distance traveled during the interval in which velocity changes.

The body thrown up continues to rise till its upward velocity is not equal to 0. The initial velocity is 36,

`0^2 - 36^2 = 2*-9.8*s`

=> s `~~` 66.12 m

The body that is thrown up rises to a maximum height of 66.12 m. This is same irrespective of the mass of the body.

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