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 the difference between unit cell and primitive cell, What is the di...

What is the difference between unit cell and primitive cell In primitive cell, number of atoms per unit cell is one while if number of atoms per unit cell is greater than one i

Calculate the length through which the spring stretched, A vertical spring ...

A vertical spring generates simple harmonic motion with period 1sec. when a mass of 1gm suspended at the lower end of the spring, calculate the length through which the spring stre

Determine the efficiency of a carnot engine, Determine the efficiency of a ...

Determine the efficiency of a Carnot engine operating reversibly between 40°C to 20°C. Can you explain thermodynamic process? Give a brief account of any two such processes.

Conductivity of extrinsic semiconductor with temperature, The conductivity ...

The conductivity of an extrinsic semiconductor (A) Decreases with temperature. (B) Increases with temperature. (C) Remains constant with temperature. (D) Decrea

Friction, friction is a necessary evil?

friction is a necessary evil?

Instant answer, calculate the acceleratio due to gravity on planet mercury ...

calculate the acceleratio due to gravity on planet mercury if mass = 2.99 x 10 9to the power 23)kg and radius = 2.42 x 10( to the power 6) metres.

Motion , 4 dimenestional motion examples

4 dimenestional motion examples

Explain cement concrete, Explain Cement concrete Cement concrete is a m...

Explain Cement concrete Cement concrete is a mixture of cement, sand, pebbles or crushed rock and water, which where placed in the skeleton of forms and permitted to cure becom

Force, formulas about force in detail

formulas about force in detail

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