Forces And Motions

## movement and position ### __speed and velocity__ --- {{__**total distance [m] = average speed [m/s] x total time [s]**__{{ * speed is shown as ‘==20m/s==’ which is the ==magnitude== \[size = magnitude\] * velocity is shown as ‘==20m/s== ^^→^^’ which is ==magnitude== and ^^direction^^ | scalar \[magnitude\] | vectors \[magnitude and direction\] | |----|----| | speed | velocity | | mass | force | | time | | \ ### __acceleration__ --- * a change in velocity is known as acceleration since acceleration can act to increase or decrease velocity- it has a direction and is therefore a vector. {{**acceleration = gain in velocity / time**{{ {{**acceleration [ms^-2] = final velocity [m/s] - initial velocity [m/s] / time [s]**{{ {{**a = v-u / t**{{ * acceleration can be related to the distance by using the equation below: {{**(f**@@**inal speed)^2** @@**=** ^^**(initial speed)^2** ^^**+ (2 x** ==**acceleration** ==**x** %%**distance moved**%%**)**{{ {{@@**v^2** @@**=** ^^**u^2** ^^**+ (2 ×** ==**a** ==**×** %%**s**%%**)**{{ ### __speed [velocity] time graphs__ * gradient = acceleration * area under the graph = distance  \[purple = blue\] <