2019 Shadow Paper/ Easter Homework Flashcards
Valid Solutions to small angle approximations?
If the solution produced is small it is valid and if it is large then it is not valid
Newton-Rapherson method producing sutiable approximation?
Draw a tangent off the lower value in the specified interval. If the tangent x-intercept is far away from the root trying to be found it means the approximation is not good
Inaccuracies in modelling differential equations?
The model could not suppourt large value of a variable, the model may be missing an upper limit
Finding Distance in horizontal motion?
Use SUVAT equations, not distance = speed x time
Limitations of model featuring projections?
Spin of ball, dimensions of ball, modelling ball as particle, inaccurate value of “g”, “g” could be variable, projections occur in 3d not 2d
Justifying direction of friction?
Since the normal reaction at the wall acts left the friction needs to act right to counter this force and prevent sliding
Describing direction of friction?
Up/Down the plane
Comparison of intial velocity with and without air resistance?
The initial velocity affected by air resistance would be larger since air resistance has to be overcome
Discrete Uniform Distribution?
Table where there are a fixed number of events all with the same probability and the notation of the 3rd row heading is P(X=x) if the second row is “x”
Cloud Cover Distribution Type?
Since cloud cover varies month to month and place to place means a suitable representation of this data would be in a non-uniform distribution
Hypothesis Test for product moment correlation?
H0: p=0 H1: P < 0
Critical Value = Value from product moment correlation coefficient table
Letting “r” be the value from the data. If this is closer to 1 or -1 than critical value then there is evidence of a positive/negative correlation between the variables
