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Try reviewing these fundamentals first

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Try reviewing these fundamentals first

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Start now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started Now- Intro Lesson: a9:43
- Intro Lesson: b2:39
- Lesson: 16:55
- Lesson: 26:45

In this lesson, we will learn:

- Definition of scalar and vector
- How to write scalars and vectors in physics
- The definitions of distance, displacement, speed, and velocity
- Calculations involving scalars and vectors

__Scaler__: a quantity with a magnitude only__Vector__:a quantity with magnitude and direction- Symbols for vectors can be written with arrows on top (like $\vec{d}$), symbols for scalars do not have arrows (like
*t*) - Distance, speed, time, and mass are examples of scalars: they do not have a direction.
- Position, displacement, and velocity are examples of vectors: they do have direction.

**Displacement**

$\Delta \vec{d}$: $\vec{d}_f - \vec{d}_i$

$\Delta \vec{d}: \mathrm{displacement, \;in\;meters\;(m)}$

$\vec{d}_f: \mathrm{final\;position, \;in\;meters\;(m)}$

$\vec{d}_i: \mathrm{initial\;position,\;in\;meters\;(m)}$

**Speed**

$v = d/t$

$v:\mathrm{speed, \;in \;meters \;per \;second \;(m/s)}$

$d:\mathrm{distance, \;in \;meters \;(m)}$

$t:\mathrm{time \;interval, \;in \;seconds \;(s)}$

**Velocity**

$\vec{v} = \Delta \vec{d}/t$

$\vec{v}: \mathrm{velocity,\;in\;meters\;per\;second\;(m/s)}$

- IntroductionIntroduction to scalars, vectors, and one dimensional motiona)How to write scalars and vectors; definitions of distance, position and displacementb)Definitions of speed and velocity
- 1.
**Distance and displacement, speed and velocity**

Betty walks 5 m to the east, then 7 m to the west, in 10 s.

- What is the total distance travelled?
- What are Betty's initial and final positions, and displacement?
- What is Betty's speed?
- What is Betty's velocity?

- 2.
**Rearranging $\vec{v} = \Delta\vec{d}/t$ for displacement and time**

A car travels at 11.0 m/s [E]

- What is its displacement if it travels for 13.5 s?
- How long does it take to travel 542 m?