Solve problems involving linear motion using the linear motion equations

Linear Motion

2.1

Linear Motion

	Distance, d
	Total length of path an object travels from one point to another.

	Displacement,s
	The shortest distance between two points.

	Formulas for distance, speed & acceleration

	\(v=\dfrac{d}{t}\), where \(v=\text{speed},\;ms^{-1}\\ d=\text{distance},\;m\\ t=\text{time},\;s\)

	\(v=\dfrac{s}{t}\), where \(v=\text{velocity},\;ms^{-1}\\ d=\text{displacement},\;m\\ t=\text{time},\;s\)

	\(a=\dfrac{v-u}{t}\), where \(a=\text{acceleration},\;ms^{-2}\\ u=\text{initial velocity},\;ms^-1\\ v=\text{final velocity},\;ms^-1\\ t=\text{time},\;s\)

	\(s=ut+\dfrac{1}{2}at^2\;\;\rightarrow\;\;\text{use this formula when there is no v given}\)

	\(v=u+at\;\;\rightarrow\;\;\text{use this formula when there is no s given}\)

	\(v^2=u^2+2as\;\;\rightarrow\;\;\text{use this formula when there is no t given}\)

	\(s=\dfrac{1}{2}(u+v)t\;\;\rightarrow\;\;\text{use this formula when there is no a given}\)

TICKER TAPE

the distance between dots small
slow and constant speed
acceleration = 0

the distance between dots greater
high and constant speed
acceleration = 0

distance between dots increase
velocity increases
acceleration = +ve

distance between dots decrease
velocity decreases
acceleration = -ve

Linear Motion

2.1

Linear Motion

	Distance, d
	Total length of path an object travels from one point to another.

	Displacement,s
	The shortest distance between two points.

	Formulas for distance, speed & acceleration

	\(v=\dfrac{d}{t}\), where \(v=\text{speed},\;ms^{-1}\\ d=\text{distance},\;m\\ t=\text{time},\;s\)

	\(v=\dfrac{s}{t}\), where \(v=\text{velocity},\;ms^{-1}\\ d=\text{displacement},\;m\\ t=\text{time},\;s\)

	\(a=\dfrac{v-u}{t}\), where \(a=\text{acceleration},\;ms^{-2}\\ u=\text{initial velocity},\;ms^-1\\ v=\text{final velocity},\;ms^-1\\ t=\text{time},\;s\)

	\(s=ut+\dfrac{1}{2}at^2\;\;\rightarrow\;\;\text{use this formula when there is no v given}\)

	\(v=u+at\;\;\rightarrow\;\;\text{use this formula when there is no s given}\)

	\(v^2=u^2+2as\;\;\rightarrow\;\;\text{use this formula when there is no t given}\)

	\(s=\dfrac{1}{2}(u+v)t\;\;\rightarrow\;\;\text{use this formula when there is no a given}\)

TICKER TAPE

the distance between dots small
slow and constant speed
acceleration = 0

the distance between dots greater
high and constant speed
acceleration = 0

distance between dots increase
velocity increases
acceleration = +ve

distance between dots decrease
velocity decreases
acceleration = -ve