A-level Mathematics M1 Force as a mk Agent

 24 September 10:39   

    A agent is a abundance that has both a consequence (or a size) and a direction. The adverse of vectors are scalars. Scalars alone accept a magnitude. There is no direction. For example, acceleration is a scalar as acceleration is the aforementioned behindhand of direction. This is best illustrated as a triangle:

    Our point, P, is a even travelling forth the hypotenuse of this triangle at a acceleration of $5ms\; ^$. Its velocity, however, is not 5. As acceleration is a agent and has both consequence and direction, the acceleration of P is according to affective at a acceleration of $4ms^$ forth the accumbent and $3ms\; ^$ forth the vertical .

    There are several altered means of autograph this as a vector. One of the alotof accepted is the i and j notation. Area i is the accumbent basic of the acceleration and j is the vertical basic of the velocity. Using this notation, our even would accept a acceleration of (4i + 3j)

    Another accepted way of autograph vectors is in the anatomy of $$ area x is the accumbent basic and y is the vertical component. Using our even as the example, is this agent anatomy its acceleration would be $ms^$.