Graphing motion - position, velocity and acceleration, Physics

Assignment Help:

Graphing Motion - Position, Velocity and Acceleration

With graphing and/or the advent of calculus, not only can we calculate the average values like those calculated above, but we can also calculate an instantaneous velocity and acceleration. The instantaneous speed is what is displayed on your speedometer in your car compared to an average over the whole trip.  

886_Graphing Motion - Position, Velocity and Acceleration.png

Example 1 - If you drive 50 km North from Point A, to Point B in two hours what is your average speed?

Ave V = Δd/ Δt = 50kam/2hr North = 25 kam/h North
 
Does this mean that the car's velocity at any given time is 25 km/h?
 No. Read on.

 If you graph the car's position with time, the velocity at a time, t, is given by the slope of the line at the time t. Using calculus this can be expressed as

V = dd/dt

A = dv/dt

So moving from position to acceleration: to find the velocity, take the derivative (or find the slope) of the position line and to find the acceleration, take the derivative of the velocity line. In the other direction: to find the velocity, compute the area under the curve of the acceleration graph and to find the distance, compute the area under the speed graph.

Calculus also gives us relationships between position, speed and acceleration in terms of time.

d (t) = d0 + v0 t + ½ a t2 if a is a constant value

v (t) = v0 + a t


Related Discussions:- Graphing motion - position, velocity and acceleration

Spark suppression, Spark suppression: If we consider a circuit with a l...

Spark suppression: If we consider a circuit with a large inductance, possibly one using a magnetic relay. At the instant the switch is opened, the current through the coil is

Which motor is used in textile industry, Textile industry: High speed d...

Textile industry: High speed drives are essential with wide range of control, small & medium motors are employed. Commutator motors and synchronous motors are used.

What is hystersis, The lagging of an effect behind its cause; especially th...

The lagging of an effect behind its cause; especially the phenomenon in which the magnetic induction of a ferromagnetic material lags behind the changing magnetic field.

Explain the resonance of sound in air columns, Explain the Resonance of Sou...

Explain the Resonance of Sound in Air Columns Wind instruments use vibrations in air columns to generate notes. The end that air is blown into is all time considered an open en

Find the speed of transverse wave in the string, A uniform spring of length...

A uniform spring of length 2m and mass 200gm is under a tension of 800N. Find the speed of transverse wave in the string.

Electromagnetic wave, which electromagnetic wave is used to detect forged d...

which electromagnetic wave is used to detect forged documents

Explain radioactivity and its problems and applications, Explain Radioactiv...

Explain Radioactivity and its Problems and Applications ? All radiation, electromagnetic as well as the kind from nuclear decay, takes its toll on living organisms. If the radiati

By which category wave nature of light is demonstrated, The wave nature of ...

The wave nature of light is demonstrated by which of the following a) The photoelectric effect b) Colour c) The speed of light d) Diffraction Ans: The w

Define the principle and working of a cyclotron, Write an expression for th...

Write an expression for the force experienced by a charged particle moving in a uniform magnetic field B. With the help of a diagram, define the principle and working of a, cyclotr

What wavelength is formed by an organ pipe-open at both ends, An organ pipe...

An organ pipe which is open at both ends resonates at its fundamental frequency. Neglecting any end effects, what wavelength is formed by this pipe in this mode of vibration if the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd