A person can throw a stone to a maximum distance of 500 m. The greatest height to which he can throw the stone is:

Question

A person can throw a stone to a maximum distance of 500 m. The greatest height to which he can throw the stone is: (A) 50 m (B) 25 m (C) 260 m (D) 1000 m

Tardigrade Admin · Accepted Answer

Maximum height is given by H =( u 2 sin 2 θ/2 g ) Range is given as R =( u 2 sin 2 θ/ g )=100 m (given) Maximum height is attained at 45 degree launch, so θ=45 u 2=1000 and Maximum height is 25 m by formula of H.

Q. A person can throw a stone to a maximum distance of $500 m$ . The greatest height to which he can throw the stone is:

$50 m$

$25 m$

$260 m$

$1000 m$

Maximum height is given by $H = \frac{u ^{2} s i n ^{2} θ}{2 g}$
Range is given as $R = \frac{u ^{2} s i n 2 θ}{g} = 100 m$ (given)
Maximum height is attained at 45 degree launch, so $θ = 45$
$u^{2} = 1000$ and Maximum height is $25 m$ by formula of $H$ .

Q. A person can throw a stone to a maximum distance of 500m. The greatest height to which he can throw the stone is:

50m

25m

260m

1000m