Question #198770

1.     An object is projected is projected at an angle 0o 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



1
Expert's answer
2021-05-26T10:33:32-0400

R=vxt=vcos20°tR=v_x\cdot t=v\cdot\cos20°\cdot t


vsin20°gt=0t=vsin20°gv\cdot\sin20°-gt=0\to t=\frac{v\cdot\sin20°}{g}


R=vcos20°vsin20°g2=v2sin40°gR=v\cdot\cos20°\cdot \frac{v\cdot\sin20°}{g}\cdot2=\frac{v^2\sin40°}{g} . Answer

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