Applications of Calculus To The Physical World (1 Viewer)

[Deathless]

Applications of Calculus To The Physical World

Any formulas or specific types of questions and patterns that one should know for this chapter?

Thanks

 

[random-1006]

Applications of Calculus To The Physical World

Any formulas or specific types of questions and patterns that one should know for this chapter?

Thanks

both exponential growths ( 2u and 3 u) ( you need to know these, they are usually given ( as there is a 1 mark " Show this is a solution of dP/dt=kP") , but not always)
P=Ae^(kt)
P= A +Be^(kt)

Difference between displacement and distance

distance travelled = area under velocity time graph as distance= speed * time

rates are fairly easy, just chain rule , and you need to know all formulas for areas/ volumes of objects. e.g. volume of a cone etc, THEY ARE NOT ALWAYS GIVEN

FOR SMH. ( this is 3 unit stuff, so i you do 2 unit do stress because you havent done these)
acceleration= - (n^2) x
acceleration= d/dx [ velocity^2 / 2]

Then interperating motion graphs are relatively common questions .

e.g. slope of x verses t graph gives the velocity, if the slope is positive the partice has positive ( to the right by convention) velocity. etc

 

[bouncing]

just adding on to this for 3u theres also
v^2=n^2(a^2-n^2)
you need to be able to derive this

and you need to know what words such as:
AT REST/STATIONARY
ORIGIN
INITIALLY
EXTREMITIES
AMPLITUDE

etc mean
since they all give u clues on how u work out the answer.

 

[random-1006]

just adding on to this for 3u theres also
v^2=n^2(a^2-n^2)
you need to be able to derive this

and you need to know what words such as:
AT REST/STATIONARY
ORIGIN
INITIALLY
EXTREMITIES
AMPLITUDE

etc mean
since they all give u clues on how u work out the answer.

yeh lol, thats gona come up any time soon. it was in last yrs hsc.

so happy when i saw that question, it was in the 2006 knox grammar trial, there were a surprising amount of questions in the hsc that were very similar to past trials

 

[NewiJapper]

stuff like dQ/dt>0 while d^2Q/dt^2<0 creates a curve which is increasing at a decreasing rate and vice versa.

Obviously intergration and differentiation for velocity/acceleration/displacement.

Knowing how to interpret information aswell is very handy.