General Physics 1 First Quarter
Important Formulas
Relative Error
Relative error = |
| 𝑥 100
Relative Uncertainty
Relative uncertainty =
𝑥 100
x-component of a Vector
𝐸=𝐸cos𝜃
y-component of a Vector
𝐸=𝐸sin𝜃
Magnitude of a Vector
𝐸 = 𝐸+𝐸
Angle of a Vector
𝜃 = 𝑡𝑎𝑛 𝐸
𝐸
Displacement
∆𝑥 = 𝑥 − 𝑥
∆𝑥 = 𝑣 ∆𝑡
Average Velocity
𝑣 = 𝑥 − 𝑥
𝑡−𝑡
Instantaneous Velocity
𝑣=𝑑𝑥
𝑑𝑡
Average Acceleration
𝑎 =𝑣 −𝑣
𝑡−𝑡
Instantaneous Acceleration
𝑎=𝑑𝑣
𝑑𝑡
Kinematic Equations
Motion at the x-axis
𝑣= 𝑣 + 𝑎t (Displacement Missing)
𝑥−𝑥= +𝑣t +
𝑎𝑡 (Final Velocity Missing)
𝑣 = 𝑣+2𝑎(𝑥− 𝑥) (Time Missing)
𝑥−𝑥=
𝑡 (Acceleration Missing)
Motion at the y-axis (Free Fall)
𝑣
=
𝑣
– gt (Displacement Missing)
𝑦−𝑦= +𝑣t −
𝑔𝑡 (Final Velocity Missing)
𝑣 = 𝑣−2𝑔(𝑦− 𝑦) (Time Missing)
y−𝑦=
𝑡 (Acceleration Missing)
Projectile Motion Formulas
𝑥 = (𝑣𝑐𝑜𝑠𝜃)t (Horizontal Distance)
y= (𝑣𝑠𝑖𝑛𝜃)t −
𝑔𝑡 (Vertical Distance)
r = 𝑥+𝑦 (Distance from the Origin)
𝑣= 𝑣𝑐𝑜𝑠𝜃 (x-component of Velocity)
𝑣= 𝑣𝑠𝑖𝑛𝜃- gt (y-component of Velocity)
v = 𝑣+𝑣 (Magnitude of Velocity)
𝜃 = 𝑡𝑎𝑛
(Angle of Velocity)
𝑡 =
(Time to reach the highest
point of flight)
H =(𝑣𝑠𝑖𝑛𝜃)t −
𝑔𝑡 (Highest point of flight)
𝑡 =
(Time for the object to hit
the ground)
R = (𝑣𝑐𝑜𝑠𝜃)t (Horizontal Range)
Uniform Circular Motion Formulas
𝑎 =
(Time Missing)
𝑣 =
(Acceleration Missing)
𝑎 =
(Velocity Missing)
Free Body Diagram
Objects in Equilibrium
∑𝐹
= 0, ∑𝐹= 0, ∑𝐹= 0
Objects in Non-Equilibrium
∑𝐹
= 𝑚𝑎, ∑𝐹= 𝑚𝑎, ∑𝐹= 𝑚𝑎
Work
𝑊 = 𝐹𝑠𝑐𝑜𝑠𝜃
Total Work
𝑊 = 𝑊+ 𝑊+𝑊….
Kinetic Energy
𝐾 = 1
2𝑚𝑣
Work-Energy Theorem
𝑊 = 𝐾−𝐾
Gravitational Potential Energy
𝑈
=
𝑚𝑔𝑦
