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 up to will be

Correct answer: D. 20 ~m maximum vertical height =(u^2)/(2 g)=10 ~m Horizontal range of a projectile = u^2 2 θ g Range is maximum when θ=45^ Maximum horizontal range = u^2 ~g Hence maximum horizontal distance =20 ~m .

JEE Main 2012Offline

Exam: JEE Main
Year: 2012
Mode: Offline
Subject: Physics
Chapter: Motion in Two Dimensions

JEE Main 2012 · Offline · Physics · Motion in Two Dimensions

A boy can throw a stone up to a maximum height of 10 ~m . The...

A boy can throw a stone up to a maximum height of

10 \mathrm{~m}

. The maximum horizontal distance that the boy can throw the same stone up to will be

Options

A $20 \sqrt{2} \mathrm{~m}$
B $10 \mathrm{~m}$
C $10 \sqrt{2} \mathrm{~m}$
D $20 \mathrm{~m}$

Correct answer

D. $20 \mathrm{~m}$

Step-by-step solution

maximum vertical height

=\frac{u^2}{2 g}=10 \mathrm{~m}

Horizontal range of a projectile

=\frac{u^2 \sin 2 \theta}{\mathrm{g}}

Range is maximum when

\theta=45^{\circ}

Maximum horizontal range

=\frac{\mathrm{u}^2}{\mathrm{~g}}

Hence maximum horizontal distance

=20 \mathrm{~m}

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