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  1. The variables include acceleration (a), time (t), displacement (d), final velocity (vf), and initial velocity (vi). If values of three variables are known, then the others can be calculated using the equations. This page demonstrates the process with 20 sample problems and accompanying solutions.

  2. In an ideal gas (see The Kinetic Theory of Gases), the equation for the speed of sound is \[v = \sqrt{\frac{\gamma RT_{K}}{M}}, \label{17.6}\] where \(\gamma\) is the adiabatic index, R = 8.31 J/mol • K is the gas constant, T K is the absolute temperature in kelvins, and M is the molecular mass.

  3. KEY - WorksheetSpeed of Sound. 1. The speed of sound, like all waves, depends on the ___medium____ through which it travels. Sound travels fastest in __solids__ and slowest in ___gases___. 2. The speed of sound in air depends on the __temperature __ of the air.

  4. Problem 1: The speed (v) at which sound travels through air is dependent upon the temperature of the air and seems to follow the equation v = 331 m/s + 0.6 m/s/°C * T where T is the Celsius temperature of the air. Determine the speed of sound … a. … on a cold day when the outdoor temperature is 4°C.

  5. Calculate the speed of the plane in km/h if the ground temperature is 23oC. Calculate the wavelength in the following substances if the frequency is 1000s-1 and the speed of sound in the medium is given: Helium (1230 m/s)

  6. Acceleration describes a change in velocity, and it has two qualities: speed and direction. When acceleration and velocity point in the same direction, an object accelerates (speeds up). What is Force? Physicists measure force in a unit called the newton (N).

  7. Our goal in this section then, is to derive new equations that can be used to describe the motion of an object in terms of its three kinematic variables: velocity (v), position (s), and time (t). There are three ways to pair them up: velocity-time, position-time, and velocity-position.