Question

Max height reached derivation

Answer 1

Answer:

Maximum height attained by a vertically projected body is derived in the following way ,

Derivation :

third equation of motion : v² - u² / 2aS

S = v² - u² / 2a

Since S = H ,

H = v² - u / 2a

when the body attains maximum height , v becomes zero

H = -u² / 2a

When the body is traveling upward , a = -g  [ the body is moving against the action of gravity ]

H = -u² / 2a

minus gets cancelled on both sides

H = u² / 2g

Hence , the maximum height attained by a vertically projected body is given as ,

Hmax = u / 2g

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