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
R=vx⋅t=v⋅cos20°⋅tR=v_x\cdot t=v\cdot\cos20°\cdot tR=vx⋅t=v⋅cos20°⋅t
v⋅sin20°−gt=0→t=v⋅sin20°gv\cdot\sin20°-gt=0\to t=\frac{v\cdot\sin20°}{g}v⋅sin20°−gt=0→t=gv⋅sin20°
R=v⋅cos20°⋅v⋅sin20°g⋅2=v2sin40°gR=v\cdot\cos20°\cdot \frac{v\cdot\sin20°}{g}\cdot2=\frac{v^2\sin40°}{g}R=v⋅cos20°⋅gv⋅sin20°⋅2=gv2sin40° . Answer
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