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

Determine magnetic field among two poles of electric motor., (a) A 400mm le...

(a) A 400mm length of conductor carrying a current of 25A is situated at right-angles to a magnetic field among two poles of an electric motor. The poles have a circular cross

What is the strength of the magnetic field, A proton with a velocity of 3.9...

A proton with a velocity of 3.98 x 10 4 m/s perpendicular to the direction of a magnetic field follows a circular path with a diameter of 4.12 cm. If the mass of a proton is 1.

Equation of continuity, An equation that states a fluid passing through a p...

An equation that states a fluid passing through a pipe flows at a rate that is inversely proportional to the cross-sectional area of the pipe. i.e., if the pipe constricts, the flu

Define step - up transformer, A transformer has 124 turns on the  primary c...

A transformer has 124 turns on the  primary coil and 18,600 turns on the  secondary coil. a. Is this a step-down or a step-up  transformer? step-up transformer

Explain stator, STATOR:   It is made up of a number of stampings which are ...

STATOR:   It is made up of a number of stampings which are slotted to be given windings. The stator carries 3φ windings and is fed from 3φ supply. It will be for a exact number of

What is the magnitude of the component, A 105-N suitcase sits on a rubber r...

A 105-N suitcase sits on a rubber ramp at an airport carousel at a 25° angle. The weight vector can be broken into two perpendicular components. a. What is the magnitude of the

Mechanics, what is reduce mass in two mass system?

what is reduce mass in two mass system?

Determine the tension in the cable, The tree needs to fall uphill even thou...

The tree needs to fall uphill even though it is leaning downhill.  The felling notch at O is sufficiently large so that the resisting moment at O is negligible.  The trunk above po

Boltzmann classical statistics, It describes the behaviour of a collection ...

It describes the behaviour of a collection of a particle N(E) with gives energy through N(E)α exp(-E/KT) where K is Boltzmann constant. It can be explained as a collection of

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