Projectile Motion And Vector
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Projectile Motion And Vector:
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Time of flight : $ T=\frac{2 u \sin \theta}{g}$
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Horizontal range : $ R=\frac{u^{2} \sin 2 \theta}{g}$
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Maximum height : $ H=\frac{u^{2} \sin ^{2} \theta}{2 g}$
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Trajectory equation (equation of path) : $y=x \tan \theta-\frac{g x^{2}}{2 u^{2} \cos ^{2} \theta}=x \tan \theta\left(1-\frac{x}{R}\right)$
Projection on an inclined plane:
Dot product:
, A.B = AB $\cos \theta$
Cross product:
A $\times$ B = AB $\sin \theta$
Vernier caliper:
Vernier caliper’s least count = the smallest reading within main scale/ Number of divisions within vernier scale = 1 mm ÷ 10 divisions = 0.1 mm
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