This lesson explains the concept of speed in physics. It contrasts it with velocity, presents its formula, and shows how to calculate it to solve...
1. Equations of Motion for Constant Acceleration (1D) These equations assume that the acceleration is constant over time. First Equation of Motion: v=u+at Where: v = final velocity (m/s) u = initial velocity (m/s) a = acceleration (m/s²) t = time (s) Second Equation of Motion...
The equation x=x0+¯vtx=x0+v¯t gives insight into the relationship between displacement, average velocity, and time. It shows, for example, that displacement is a linear function of average velocity. (By linear function, we mean that displacement depends on ¯vv¯, rath...
The speed of sound (acoustic velocity or sonic velocity), in a fluid is a function of its bulk modulus (or, equivalently, of its compressibility). Equation 1 gives the speed of sound through a liquid. Speed of Sound in Various Liquids and Solids The two main factors that effect the ...
a speed faster than the speed of light in vacuum. 3. Implicit statements of concepts normally receive credit. For example, if use of the equation expressing a particular concept is worth one point, and a student’s solution contains the application of that equation to the problem but the ...
An equation of state for dense nuclear matter such as neutron stars General Physics New study sets tighter constraints on elusive sterile neutrinos Optics & Photonics Super-resolution microscopy achieves nanometer resolution without traditional ON/OFF switching ...
Speed of Sound in Liquid or Fluid Formula The speed of sound (acoustic velocity or sonic velocity), in a fluid is a function of its bulk modulus (or, equivalently, of its compressibility). Equation 1 gives the speed of sound through a liquid. ...
3.2 Instantaneous Velocity and SpeedLearning Objectives By the end of this section, you will be able to: Explain the difference between average velocity and instantaneous velocity. Describe the difference between velocity and speed. Calculate the instantaneous velocity given the mathematical equation for ...
The frequency f of a wave is inversely proportional to its wavelength λ if the speed v remains constant, following the equation v = fλ. If λ increases, f must decrease to maintain the constant speed. For example, in electromagnetic waves, radio waves have longer wavelengths and lower freq...
The constant x is the unique solution to the transcendental equation $$\begin{aligned} x\quad \text {such that}\quad x = (2\textrm{e}(\ell +1))^{k}\cdot \ln ^{k}(x). \end{aligned}$$ Rearrange to obtain $$\begin{aligned} r \ge a^{2\eta /k} \left( c(k)(\Upsilon t...