Question
An object is thrown vertically upwards with a velocity u, the greatest height h to which it will rise before falling back is given by:
  1. $\frac{\mu}{\text{g}}$
  2. $\frac{\mu^2}{2\text{g}}$
  3. $\frac{\mu^2}{\text{g}}$
  4. $\frac{\mu}{2\text{g}}$

Answer

  1. $\frac{\mu^2}{2\text{g}}$
Explanation:
At the maximum height 'h', the velocity becomes zero.
Using,
$\text{v}^2 = \mu^2 − 2\text{gh}$
$\Rightarrow 0 =\mu^2 − 2\text{gh}$
$\Rightarrow \text{h}=\frac{\mu^2}{2\text{g}}$

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