Show Menu
Cheatography

One and two dimensional motion Cheat Sheet by

One and two dimensional motion

Speed and Velocity

speed
the distance traveled per unit of time. Speed is a scalar, a quantity that is described by magnitude alone. Constant speed refers to a fixed distance per unit of time. Average speed includes the total distance and total time.
velocity
the displa­cement of an object per unit of time. Since displa­cement includes a direction, so does velocity. Speed with direction. Velocity is a vector a quantity that has both magnitude and direction.
vector
a quantity that has both magnitude and direction
reference frame
the position from which an event is observed
motion map
an image that represents the position, velocity, and accele­ration of an object at one-second intervals
scalar
a quantity that is described by magnitude alone
Motion and reference frame
All motion is relative. It depends on a reference frame. An object may appear to move faster or slower depending on the reference frame.
average velocity
The slope of a line changes when the velocity of an object changes -> The steeper the slope, the greater the velocity. The average velocity will be different than any of the other. Any point on the line will give only an instan­taneous velocity.
change in direction
A change in direction is repres­ented when the line on a positi­on-time graph changes from a positive slope to a negative. slope or from a negative slope to a positive slope. A negative slope indicates an object moving towards the origin. A positive slope indicates an object moving away from the origin.
No motion
horizontal line - means object is not moving -> The object’s position does not change
Motion
Displayed in a vector !

Formula

speed
s = d/t -> 50 + 30 = 80 miles, 1+1 = 2h -> 80 miles/2h = 40 mph
velocity
v = ∆x/t
average velocity
v avg = ∆x/∆t = xf − xi/tf − ti -> 100 m in 10.61 s -> xf = 100 m, xi = 0 m, tf = 10.61 s, ti = 0 s -> v avg = 100 m - 0 m / 10.61 s - 0 s = 100/10.61 = 9.43 m/s
 

Accele­ration

positive accele­ration
an increase in velocity over time
negative accele­ration
a decrease in velocity over time
accele­ration
the rate at which velocity changes over time
constant
staying the same; unchanging
Positive accele­ration
speeds up in the positive direction. slows down in the negative direction
Negative accele­ration
slow down down in the positive direction. speeds up in the negative direction.
Slope
of the line on a velocity vs. time graph represents accele­ration. Positive slope = accele­ration, negative slope = negative accele­ration

accele­ration

Accele­ration example

Displa­cement during constant accele­ration

Formula

Horizontal motion example

Key concepts

 

vectors

quadrant
a quarter of the coordinate plane
components
the two parts of a vector that are perpen­dicular to each other
resultant vector
the sum of two or more vectors
vector resolution
the process by which the components of a vector are determined
Properties of a vector
A vector is a quantity that has both magnitude and direction. Examples of vectors: Displa­cement, velocity, accele­ration. Vectors are drawn using an arrow

More

Sign of a component

The sign of a component depends on the quadrant of the coordinate
system it is in.

Projectile Motion

projectile
an object that is set in motion following a path in which the only force acting on it is gravity.
inertia
the natural tendency of objects to resist a change in motion
projectile motion
the curved motion that results from the combin­ation of an object’s horizontal inertia and the force due to gravity pulling the object downward. I.e. A ball rolling of the table, A player shooting a jump shot -> Projec­tiles follow a parabolic path
parabolic
having the shape of a parabola
vectors
Vectors are used to describe motion in two dimens­ions. Vectors can be broken down into x and y compon­ents. The components of a vector are the two parts of a vector that are perpen­dicular to each other

Add

Horizontal

Horizontal example

continued

                   

Help Us Go Positive!

We offset our carbon usage with Ecologi. Click the link below to help us!

We offset our carbon footprint via Ecologi
 

Comments

No comments yet. Add yours below!

Add a Comment

Your Comment

Please enter your name.

    Please enter your email address

      Please enter your Comment.

          Related Cheat Sheets

          More Cheat Sheets by anjuscha

          Chemistry Unit 1 Cheat Sheet