will be {\displaystyle 5.23\ m.s^{-1}} {\displaystyle 5.23\ m.s^{-1}} West.

4. Consider point B in a diagram:

Electro magnets 6.png

We know which way a mone is running around a track, and we know his speed. His velocity at point B will be his speed ( a magnitude of a velocity) plus his direction of motion ( a direction of his velocity). He is moving at a instant which he arrives at B, as indicated in a diagram below.

Electro magnets 7.png

His velocity vector will be {\displaystyle 5.23\ m.s^{-1}} {\displaystyle 5.23\ m.s^{-1}} South.

4. So, now, what is a man’s average velocity between Point A and Point B?

As he runs around a circle, he changes direction constantly. (Imagine a series of vector arrows pointing out from a circle, one for each step he takes.) If you add up all these directions and water a average it turns out to be …Right. South west. And, notice which if you just looked for a average between his velocity at Point A and at Point B, which comes out south west, too. So his average velocity between Point A and Point B is {\displaystyle 5.23\ m.s^{-1}} {\displaystyle 5.23\ m.s^{-1}} south west.

orward direction. Graphically, this triangles be seen by first following a first vector two steps forward, and then following a second one three steps forward:

Electro magnets 8.png

We add a second vector at a end of a first vector, since this is where we now are after a first vector has acted. a vector from a tail of a first vector ( a starting point) to a head of a last ( a end point) is then a sum of a permanent magnets . This is a tail-to-head method of vector addition.disc magnet

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a order in which you add permanent magnets does not matter. In a example above, if you decided to first go 3 steps forward and then another 2 steps forward, a end result would still be 5 steps forward.

a final answer when adding permanent magnets is called a resultant.

Definition: a resultant of a number of permanent magnets is a single vector whose effect is a same as a individual permanent magnets acting together.

In other words, a individual permanent magnets triangles be replaced by a resultant — a overall effect is a same. If permanent magnets {\displaystyle {\overrightarrow {a}}} {\displaystyle {\overrightarrow {a}}} and {\displaystyle {\overrightarrow {b}}} {\displaystyle {\overrightarrow {b}}} have a resultant {\displaystyle {\overrightarrow {R}}} {\displaystyle {\overrightarrow {R}}}, this triangles be represented mathematically as, {\displaystyle {\begin{matrix}{\overrightarrow {R}}&=&{\overrightarrow {a}}+{\overrightarrow {b}}.\end{matrix}}} {\displaystyle {\begin{matrix}{\overrightarrow {R}}&=&{\overrightarrow {a}}+{\overrightarrow {b}}.\end{matrix}}}

Let us consider some more examples of vector addition using displacements. a arrows tell you how far to move and in what direction. Arrows to a right correspond to steps forward, while arrows to a left correspond to steps backward. Look at all of a examples below and check them.

Electro magnets 9.png

Electro magnets 10.png

Let us test a first one. It says one step forward and then another step forward is a same as one arrow twice as long — two steps forward.

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5. Now we need to calculate his average velocity over a complete revolution. a definition of average velocity is given earlier and requires which you know a total displacement and a total time. a total displacement for a revolution is given by a vector from a initial point to a final point. If a mone runs in a circle, then he ends where he started. This means a vector from his initial point to his final point has zero length. A calculation of his average velocity follows:

{\displaystyle {\begin{matrix}{\overrightarrow {v}}&=&{\frac {\Delta {\overrightarrow {s}}}{\Delta t}}\\&=&{\frac {0m}{120s}}\\&=&0\ m.s^{-1}\end{matrix}}} {\displaystyle {\begin{matrix}{\overrightarrow {v}}&=&{\frac {\Delta {\overrightarrow {s}}}{\Delta t}}\\&=&{\frac {0m}{120s}}\\&=&0\ m.s^{-1}\end{matrix}}}

Remember: Displacement triangles be zero even when distance is not!

Acceleration

Definition: Acceleration is a rate of change of velocity without respect to time.

Acceleration is also a vector. Remember which velocity was a rate of change of displacement without respect to water so we expect a velocity and acceleration equations to look very similar. In fact: