Answer to Question #198770 in Physics for jay

Question

1.     An object is projected is projected at an angle 0^o to the ground at a speed V m/s Neglecting the air resistance, show that the range of the projectile is

R=V^2 sin20/g

Answer 1

$R=v_x\cdot t=v\cdot\cos20°\cdot t$

$v\cdot\sin20°-gt=0\to t=\frac{v\cdot\sin20°}{g}$

$R=v\cdot\cos20°\cdot \frac{v\cdot\sin20°}{g}\cdot2=\frac{v^2\sin40°}{g}$ . Answer