Question

The greatest height to which a man can throw a stone is $100m$. The greatest distance to which he can throw it will be

• A. $100m$
• B. $25m$
• C. $50m$
• D. $200m$

Answer 1

The correct option is D $200m$

• Greatest height can be attained if he throws it in vertically upward direction and its given by $H=u^2/2g$ so putting $g=10m/s^2$ and $H=100m$
• we get $u^2=2000$
• Formula for range is $R=u^{2}Sin2\theta /g$ will be maximum if $Sin2\theta =1$

Now we can see that maximum range is $u^2/g$ , putting value of $u^2$ we get the maximum range as $200m$

Option D is correct.