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

What is compton effect, The scattering of a photon by an electron is known ...

The scattering of a photon by an electron is known as Compton Effect. The momentum and energy is preserved. Scattered photon will have less power as compare to incident photon (les

S.h.m, at what frequancy kinetic energy wil start oscilation

at what frequancy kinetic energy wil start oscilation

With all the limitations, With all the limitations, what are the uses of fi...

With all the limitations, what are the uses of fiber optics? There is an ordinary misconception about the quantity of light required for a given task: more light is not essenti

Current electricity, if electrons are moving from east to west in a conduct...

if electrons are moving from east to west in a conductor is there a flow of current?

Determine the photon flux, Suppose that the x rays are emitted from a focal...

Suppose that the x rays are emitted from a focal spot isotropically. The photon flux is 3.28 x 10 6 photons mm -2 sec -1 at a distance of 0.75 m from the focal spot. What is the

States of matter, Sir,Do you tell me about 5th state of matter i.e Be conde...

Sir,Do you tell me about 5th state of matter i.e Be condensates

Is there any way to improve side- emitting viewing, Is there any way to imp...

Is there any way to improve side- emitting viewing? A side emitting light guide is viewed optimally while the contrast among the optic and background is maximized. When the lig

Coherently illuminated one slit producing diffraction, Compare and contrast...

Compare and contrast the pattern which is seen with two coherently illuminated narrow slits in Young's experiment with that seen for a coherently illuminated one slit producing dif

Laplace equation, Laplace equation (P. Laplace): For steady-state heat...

Laplace equation (P. Laplace): For steady-state heat conduction in one dimension, the temperature distribution is the resolution to Laplace's equation, that states the second

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