Physics: Motion, Laws, Work, Energy, Gravitation
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Motion in a Straight Line
V=u+at[V-T relation] (a=slope=∆x/∆ y=v-u/t)
S=ut+1/2at² [Position-T relation](displacement=area under V-T Graph=Area of rectangle+area of triangle)
v² =u² +2as[Position-velocity relation](displacement=area of trapezium=[a+b/2]h
S=v² -u² /2a
stopping distance: S=-u² /2a
Motion In a Plane
cosθ =Ax/A
sinθ =Ay/A
tanθ = Ay/Ax
| sin²θ+cos²θ=1|
magnitude of a vector; A= √Ax² +Ay²+Az² = √ Ax² +Ay²
substraction of vectors: A-B = A+(-B)
//logram law of vector addition :- [R=A+B][PN=Bcosθ][SN=Bsinθ] [R=√vb²+vc²+2VbVcCosθ
Time of flight:T=2usinθ/g→Full motion [uSinθ/g→half]
Max height: H=u²sinθ/2g
horizontal range:R=u²sin2θ/g [sin2θ =2sSnθCosθ]
Angular velocity/speed : ω(angular V) = ∆θ/∆t
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