Motion Flashcards
Displacement
Distance from a particular point
Velocity
Speed in a particular direction
Speed equation
s = vt
v = s/t
Acceleration
Rate of change of velocity with respect to time
When caused by gravity, referred to as g = 9.81ms^-2
Iterative models
Step by step model, usually with respect to time, input previous outputs to create a track of how a variable progresses
Pros and cons of iterative models
Pros: If friction acts on an object, a is not constant but decreases as v increases. This is hard to model with calculus but can be easily adjusted for in an iterative model; ( a = g - k v^2 )
Cons: The model jumps between time intervals , which is inaccurate, however this can largely be tackled by using smaller time intervals
Graphical Models
Using vector addition can make graphs look clearer rather than going in jumps
Works for falling objects initially going horizontal because the initial vectors are not going in the same plane
SUVAT
v = u + at s = ut + 0.5at^2 s = vt - 0.5at^2 v^2 = u^2 + 2as s = 0.5(u+v)t
Braking distance
At 30mph / 13.4ms^-1
9m-14m
At 60mph / 26.6ms^-1
18m-55m