Calculative Methods or Formulas 1) Speed
Calculative Methods or Formulas 1) Speed
Calculative Methods or Formulas 1) Speed
1) Speed.
𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆
Speed ⇒
𝑻𝒊𝒎𝒆
𝑻𝒐𝒕𝒂𝒍 𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆 𝑪𝒐𝒗𝒆𝒓𝒆𝒅
Average Speed
𝑻𝒐𝒕𝒂𝒍 𝑻𝒊𝒎𝒆 𝑻𝒂𝒌𝒆𝒏
2) Velocity.
𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆 𝑻𝒓𝒂𝒗𝒆𝒍𝒍𝒆𝒅 𝒊𝒏 𝒂 𝑮𝒊𝒗𝒆𝒏 𝑫𝒊𝒓𝒆𝒄𝒕𝒊𝒐𝒏
Velocity or
𝑻𝒊𝒎𝒆 𝑻𝒂𝒌𝒆𝒏
𝑫𝒊𝒔𝒑𝒍𝒂𝒄𝒆𝒎𝒆𝒏𝒕
Velocity
𝑻𝒊𝒎𝒆 𝑻𝒂𝒌𝒆𝒏
𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆 𝑻𝒓𝒂𝒗𝒆𝒍𝒍𝒆𝒅
Average Velocity
𝑻𝒊𝒎𝒆
𝐈𝐧𝐢𝐭𝐢𝐚𝐥 𝐕𝐞𝐥𝐨𝐜𝐢𝐭𝐲+𝐅𝐢𝐧𝐚𝐥 𝐕𝐞𝐥𝐨𝐜𝐢𝐭𝐲 𝐮+𝐯
Average Velocity ( a= )
𝟐 𝟐
3) Acceleration.
𝐂𝐡𝐚𝐧𝐠𝐞 𝐢𝐧 𝐕𝐞𝐥𝐨𝐜𝐢𝐭𝐲
Acceleration or
𝐓𝐢𝐦𝐞 𝐓𝐚𝐤𝐞𝐧 𝐟𝐨𝐫 𝐂𝐡𝐚𝐧𝐠𝐞
𝐅𝐢𝐧𝐚𝐥 𝐕𝐞𝐥𝐨𝐜𝐢𝐭𝐲−𝐈𝐧𝐢𝐭𝐢𝐚𝐥 𝐯𝐞𝐥𝐨𝐜𝐢𝐭𝐲 𝐯−𝐮
Acceleration ( a= )
𝐓𝐢𝐦𝐞 𝐓𝐚𝐤𝐞𝐧 𝐭
𝐅𝐨𝐫𝐜𝐞 𝐅
Acceleration ( a= )
𝐌𝐚𝐬𝐬 𝐦
4) Such Important Equations of Motion.
𝒗 = 𝒖 + 𝒂𝒕
𝟏 𝟐
𝒔 = 𝒖𝒕 + 𝒂𝒕
𝟐
𝒗𝟐 = 𝒖𝟐 + 𝟐𝒂𝒔
Where, V= Final Velocity
U=Initial Velocity
S=Speed of Object
A=Acceleration of Object
T= Time
6) Momentum.
Momentum=Mass X Velocity ( P= mv )
Total Momentum = Total Momentum
Before Collision After Collision
𝒎𝟏 𝒖𝟏 + 𝒎𝟐 𝒖𝟐 = 𝒎𝟏 𝒗𝟏 + 𝒎𝟐 𝒗𝟐
7) Force.
Force= Mass X Acceleration ( F= m x a )
8) Universal Law of Gravitational Motion.
𝒎𝟏 𝒎𝟐
F=G ( G= 6.67 x𝟏𝟎−𝟏𝟏 N𝒎𝟐 𝒌𝒈−𝟐 )
𝒓𝟐
14) Work.
Work = Force x Distance ( W= F x S )
15) “Work Done Against Gravity” or “Potential
Energy”
Work Done in Lifting a Body = Weight of Body X Vertical Distance
W= mgh
Where, W= Work Done
m = Mass of the Body
g = Acceleration due to Gravity
h = Height through Which the Body is Lifted
16) Formula for Work done When Body Moves at an
Angle to the Direction of Force.
W= F𝐜𝐨𝐬 𝛉 x S
Where, F= Force Applied
𝜽= Angle between the Direction of Force
and Direction of Motion
S= Distance Travelled
17) Kinetic Energy.
𝟏
Kinetic Energy= m𝒗𝟐
𝟐
24) Resistance.
𝑬𝒍𝒆𝒄𝒕𝒓𝒊𝒄 𝑷𝒐𝒕𝒆𝒏𝒕𝒊𝒂𝒍(𝑽) 𝑽
Resistance (R) = ( R= )
𝑪𝒖𝒓𝒓𝒆𝒏𝒕(𝑰) 𝑰
𝒉𝒊 −𝒗
Or, 𝒎= =
𝒉𝒐 𝒖
32) Lens Formula.
𝟏 𝟏 𝟏
− =
𝒗 𝒖 𝒇
𝒉𝒊 𝒗
Or, 𝒎= =
𝒉𝒐 𝒖