A projectile is fired with a velocity of $20$ m s$^{-1}$ at $30^\circ$ to the horizontal. Find its horizontal range. (Take $g = 10$ m s$^{-2}$.)

Question

Accepted Answer

$20\sqrt{3}$ m. Range $R = \dfrac{u^2\sin 2	heta}{g} = \dfrac{400 	imes \sin 60^\circ}{10} = 40 	imes \dfrac{\sqrt{3}}{2} = 20\sqrt{3} \approx 34.6$ m. Using $\sin	heta$ instead of $\sin 2	heta$ gives 20 m.

Answer

A) $40$ m

Answer

B) $20\sqrt{3}$ m

Answer

C) $10\sqrt{3}$ m

Answer

D) $20$ m

A projectile is fired with a velocity of $20$ m s$^{-1}$ at $30^\circ$ to the horizontal. Find its horizontal range. (Take $g = 10$ m s$^{-2}$.)

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