Physics

Problem

Which one of the following expressions represents the horizontal range

R

of a projectile projected with initial speed

v_0

at an angle

\theta_0

to the horizontal (acceleration due to gravity

g

)? a)

R = \dfrac{v_0^{2}\sin^{2}\theta_0}{2g}

R = \dfrac{v_0^{2}\sin\theta_0\cos\theta_0}{g}

R = \dfrac{v_0^{2}\sin 2\theta_0}{g}

R = \dfrac{v_0^{2}\sin^{2}\theta_0}{g}