QJEEM12Phb65f: JEE Main 2012 Physics - Class 11 JEEM12Phb65f Solution: A boy can throw a stone up to a maximum height of 10 m. The…

Question

Verified Solution • 2025–26 Session moderate

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

Accepted Answer

We know,

R = \frac{u^{2} \sin 2 θ}{g}

and

H = \frac{u^{2} \sin^{2} θ}{2 g};

H_{max}

is possible when

θ = 90

^{\circ}

H_{max} = \frac{u^{2}}{2 g} = 10 \Rightarrow u^{2} = 10 g \times 2

As

R = \frac{u^{2} \sin 2 θ}{g}

Range is maximum when projectile is thrown at an angle

45^{\circ}

.

\Rightarrow R_{max} = \frac{u^{2}}{g}

R_{max} = \frac{10 \times g \times 2}{g} = 20

meter

Step-by-Step Verified Solution