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

Calormetry, in water equivalent how the temperature or water and solid equa...

in water equivalent how the temperature or water and solid equal?

Explain casting, Casting : Fe-C alloys with more than 2% carbon are known a...

Casting : Fe-C alloys with more than 2% carbon are known as cast irons. On crossing the liquidus, proeutectic crystallizes first. On passing by the eutectic temperatures, the liqui

Specific heat, why specific heat is different at different temperature?

why specific heat is different at different temperature?

The conservation of linear momentum, Hi, Good day. I enjoy watching your ph...

Hi, Good day. I enjoy watching your physics videos, but I have a question and was wondering if you can answer it for me showing the working. the question is as follows: A flat truc

Can several fibers gives the same amount of light, Can several fibers gives...

Can several fibers gives the same amount of light? No, some fibers do not give similar amount of light. If a no. of fibers or light guides are coupled similar illuminator, this

How is a wave front dissimilar from a ray, How is a wave front dissimilar f...

How is a wave front dissimilar from a ray ? Draw the geometrical, shape of the wave fronts when (i) light diverges from a point source, and (ii) light emerges out of a convex le

Valve & digital electronics: thermionic emission, (i) The procedure of ejec...

(i) The procedure of ejection of electrons from a metal surface by the application of heat is known as thermionic emission and emitted electrons are known as thermions and current

Explain resistance, Resistance: Resistance is the opposition to the mot...

Resistance: Resistance is the opposition to the motion of electrons. This arises as a result of collision of moving electrons. The unit of resistance is "ohm" represented by

Ponits about electric field, Which of the following isn't true of an electr...

Which of the following isn't true of an electric field? Answer An electric field can as well as does exist in vacuum. Except for the one about vacuum the entire the answe

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