CAPE Physics Formulas Semester 1

Average speed, total distance/total time 

Average velocity, total change in displacement/total time 

Average acceleration, a = (v–u)/t

Kinematics Velocity, v=u+at

Kinematics Velocity², v²=u²+2as

Kinematics Displacement/distance, s=ut+1/2at²

Momentum, p=mv

Rate of change of momentum, m(v-u)/t

Newton’s Second law of motion, F=ma

Impulse, F=m(Δv/Δt)

Law of conservation of momentum (Elastic Collision), $m_1u_2+m_2u_2=m_1v_1+m_2v_2$

Law of conservation of momentum (Inelastic Collision), $m_1u_2+m_2u_2=\left(m_1+m_2\right)V_{c}$

Total Resultant Velocity, $v=\sqrt{v_{x}^2+v_{y}^2}$

Direction of motion, $\theta=\tan^{-1}\left(\frac{v_{y}^{}}{v_{x}^{}}\right)$

Time of flight, $T=\frac{2u\sin}{g}$

Maximum height, $H=\frac{u^2\sin^2}{2g}$

Range, $R=\frac{u^2\sin2\theta}{g}$

Angular Displacement, $\theta=\frac{s}{r}$

Angular velocity, $\omega=\frac{\theta}{t}$ or $\omega=\frac{v}{t}$

Period, $T=\frac{2\pi}{\omega}$

Frequency, $f=\frac{1}{T}$ or $f=\frac{\omega}{2\pi}$

Linear velocity, $v=\omega r$

Centripetal Acceleration, $a_{c}=\frac{v^2}{r}$ or $a_{c}=\omega^2r$

Centripetal Force, $F_{c}=\frac{mv^2}{r}$ or $F_{c}=m\omega^2r$

Moment, T=Fxd

Work, W = Fxx

Kinetic Energy, $K_{E}=\frac12mv^2$

Gravitational potential energy, $E_{p}=mgh$

Power, $P=\frac{W}{t}$

Internal Energy, $U=E_{K}+E_{p}$

Specific heat capacity, $E_{H}=mc\Delta\char"03A4$

Stefan's Equation, $P=\sigma eA\left(T^4-T_{s}^4\right)$

Fourier’s Law, $Q=kA\left(\frac{T_{h}-T_{c}}{L}\right)$

Density, $\rho=\frac{m}{v}$

Pressure, $P=\rho gh$

Velocity after time, $v_{_{y}}=u_{y}-gt$

Height after time, $y=u_{y}t-\frac12^{}gt^2$

Velocity after given height, $v_{y}^2=u_{y}^2-2gy$

Horizontal distance or range, $x=u_{x}t$