Question

A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone will be?

• A. $20 \ m$
• B. $20\sqrt 2 \ m$
• C. $10\ m$
• D. $10\sqrt 2 \ m$

Answer 1

Answer: (A)

$20 \ m$

Answer 2

For vertically projected up body maximum height $(H)$,
$H=\frac {u^2}{(2g)}$ $.......(ii)$
For the same body with same initial velocity the horizontal distance traveled when thrown at an angle $(θ)$,
$R=\frac {u^2}{g}$ $......(ii)$
Compare eq $(i)$ and eq $(ii)$
$R=2H$
$R=2×10$
$R=20\ m$

So, the correct oiption is (A): $20\ m$.