Projectile Motion And Vector
Projectile Motion And Vector:
PYQ-2023-Motion-In-Two-Dimensions-Q1, PYQ-2023-Motion-In-Two-Dimensions-Q2, PYQ-2023-Motion-In-Two-Dimensions-Q5, PYQ-2023-Motion-In-Two-Dimensions-Q7, PYQ-2023-Gravitation-Q17
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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:
PYQ-2023-Mathematics-In-Physics-Q1 , PYQ-2023-Mathematics-In-Physics-Q2
A.B = AB $\cos \theta$
Cross product:
PYQ-2023-Mathematics-In-Physics-Q3
A $\times$ B = AB $\sin \theta$
Vernier caliper:
PYQ-2023-Mathematics-In-Physics-Q4
Vernier caliper’s least count = the smallest reading within main scale/ Number of divisions within vernier scale = 1 mm ÷ 10 divisions = 0.1 mm
