# Overview of Kinematics Flashcards

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A vector quantity that represents how an object's velocity has changed over time

Equation: Δvelocity / Δtime = (*vf* - *vi*) / (*tf* - *ti*)

Average velocity = change in position / change in time = (2 m - 0 m) / (9 s - 0 s) = 0.22 m/s

*v* = Δ*x* / Δ*t* = (2 m - 4 m) / (9 s - 5 s) = -0.5 m/s

*v* = Δ*x* / Δ*t* = (4 m - 4 m) / (5 s - 2 s) = 0 m/s

The object is slowing down from 0-6 seconds, is not moving at 6 seconds, then accelerating in the opposite direction starting after 6 seconds.

Δ*s* / Δ*t* = -6 m / 6 s = -1 m/s

A vector quantity that describes the total displacement traveled over a period of time

Change in position (displacement) / change in time

A scalar quantity that describes the total distance traveled over a period of time

A vector quantity that represents the shortest distance between the starting and ending point of a path taken by an object

A scalar quantity that represents the total length of the path taken by an object between two points

The object is back at the starting position

A location in space, identified by a number on the x- and/or y-axis

Can be a positive or negative value

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## Flashcard Content Overview

One of the most important things you will learn in physics is how to describe motion. These flashcards will help you do just that. They will review the definitions of words used to describe motion, like velocity and acceleration, and will help you practice solving problems involving motion using common kinematics equations.

A location in space, identified by a number on the x- and/or y-axis

Can be a positive or negative value

The object is back at the starting position

A scalar quantity that represents the total length of the path taken by an object between two points

A vector quantity that represents the shortest distance between the starting and ending point of a path taken by an object

A scalar quantity that describes the total distance traveled over a period of time

A vector quantity that describes the total displacement traveled over a period of time

Change in position (displacement) / change in time

Δ*s* / Δ*t* = -6 m / 6 s = -1 m/s

The object is slowing down from 0-6 seconds, is not moving at 6 seconds, then accelerating in the opposite direction starting after 6 seconds.

*v* = Δ*x* / Δ*t* = (4 m - 4 m) / (5 s - 2 s) = 0 m/s

*v* = Δ*x* / Δ*t* = (2 m - 4 m) / (9 s - 5 s) = -0.5 m/s

Average velocity = change in position / change in time = (2 m - 0 m) / (9 s - 0 s) = 0.22 m/s

A vector quantity that represents how an object's velocity has changed over time

Equation: Δvelocity / Δtime = (*vf* - *vi*) / (*tf* - *ti*)

Acceleration = (final velocity - initial velocity) / (final time - starting time) = (0 m/s - 6 m/s) / (6 s - 0 s) = -1 m/s2

Indicates that the velocity is decreasing over time, meaning it is slowing down

Also called deceleration

*v* = *v0* + *at*

65 rad/s = 15 rad/s + *a* * 10 s

*a* = 5 rad/s2

*x* = *x0* + *v0* * *t* + 1/2 * *a* * *t2*

900 m = 0 + (25 m/s * 30 s) + 1/2 * *a* * (30 s)2

*a* = 0.33 m/s2

*v2* = *v02* + 2 * *a* * (*x* - *x0*)

*v2* = (2 m/s)2 + 2 * 0.5 m/s2 * (40 m - 0 m)

*v* = 6.6 m/s

*v* = *v0* + *at*

35 m/s = *v0* + 1 m/s2 * 10 s

*v0* = 25 m/s

*v2* = *v02* + 2 * *a* * (*x* - *x0*)

(5 m/s)2 = (0 m/s)2 + 2 * 0.5 m/s2 * (*x* - 0 m)

*x* = 25 m

A parabolic path traveled by a projectile launched at a specific speed and angle whose vertical acceleration is only determined by acceleration of gravity (*a* = *g* = 9.8 m/s2 downward)

Vertical component of velocity at top of arc is always equal to 0 m/s, regardless of initial velocity

Horizontal component of velocity is constant, with *v* = 35 m/s * cos(60°) = 17.5 m/s north

*vfy2* = *viy2* + 2 * *ay* * *y*

*y* = 10 m, *viy* = 0 m/s

0 = *viy2* + 2 * -9.8 m/s2 * 10 m = 196 m2/s2

*viy* = 14 m/s

The object is moving at a rate of 3 m/s for 6 seconds. 3 m/s * 6 s = 18 meters. Since the velocity is positive, the object is moving away from us.

1. The object has constant negative acceleration in one direction.

2. The object stops and turns around at 6 s.

3. The object has constant positive acceleration in the opposite direction.

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Physics 101: Intro to Physics20 chapters | 167 lessons | 11 flashcard sets

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