question archive Consider the following position functions r and R for two objects
Subject:MathPrice: Bought3
Consider the following position functions r and R for two objects.
a. Find the interval? [c,d] over which the R trajectory is the same as the r trajectory over? [a,b].
b. Find the velocity of both objects.
c. Graph the speed of the two objects over the intervals? [a,b] and? [c,d], respectively.
Bold r left parenthesis t right parenthesis
r(t)= left angle cosine t comma 2 sine t right angle
cost,2sint?, ?[a,b]=?[0,2pi
π?]
Bold Upper R left parenthesis t right parenthesis
R(t)
equals
=
left angle cosine 4 t comma 2 sine 4 t right angle
cos4t,2sin4t on? [c,d]