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

Types of motion, which circular path in any time in any mation

which circular path in any time in any mation

Obtain relativistic expression for the kinetic energy, Obtain Relativistic ...

Obtain Relativistic expression for the kinetic energy of the particle. Derive mass energy relation. Show that total energy E and momentum P are related, where m is rest mass and

Whether the molecular oscillators of the blackbody emitted, To develop the ...

To develop the correct mathematical explanation of the distribution of radiated energy of a blackbody with respect to wavelength for a given temperature. Planck found it essent

What is non-inertial frame of reference, NON-INERTIAL FRAME OF REFERENCE: ...

NON-INERTIAL FRAME OF REFERENCE: A frame which has non-uniform motion but particular acceleration is known as non-inertial frame of reference. Newton's first law of motion i

Component simple harmonic motions, When the component simple harmonic motio...

When the component simple harmonic motions have dissimilar periodic times: The resultant curve may be attained in this case by dividing the circumferences of the two circles of

Pn junction is represented as a diode, Pn junction is represented as a diod...

Pn junction is represented as a diode Pn junction is represented as a diode D in the emitter as represented in figure. If a voltage VBB is applied between bases with emitter op

Fermi paradox, Fermi paradox (E. Fermi): E. Fermi's conjecture, simpli...

Fermi paradox (E. Fermi): E. Fermi's conjecture, simplified along phrase, "Where are they?" questioning that if the Galaxy is filled along with technological and intelligent c

Examples, Example of like and unlike parallel forces

Example of like and unlike parallel forces

Determine the change in entropy, Determine the change in entropy, in joules...

Determine the change in entropy, in joules, when 5 moles of an ideal gas expands from a value of 4 lits. to 40 lits. at 27°C. (R = 8.314 JK -1 mol -1 )

Motion, An athlete run a certain distance before taking a long jump. Why?

An athlete run a certain distance before taking a long jump. Why?

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