calculus
posted by Barbara .
The position of two particles on the saxis are s1= cos(t) and s2= cos(t+(symbol for pie)/4)
a. what is the farthest apart the particles ever get?
b. when do the particles collide?

I think it would be of more benefit if you posted your thinking or work, and we critiqued it.

Well I am in AP Calculus and I don't understand the class to well.

difference = y = cos ( t + pi/4)  cos t
for part a
take dy/dt and set to 0
dy/dt = sin (t+pi/4) + sin t
0 = sin t  sin (t+pi/4)
sin t = sin (t+pi/4)
sin (a+b) =sin a cos b + cos a sin b
so
sin t = sin t cos pi/4 + cos t sin pi/4
sin t = sin t /sqrt 2 + cos t/sqrt 2
sqrt 2 sin t = sin t + cos t
(sqrt 21) = cos t/sin t = cot t
cot t = .4142
t = 67.5 degrees = 1.178 radians
also in other quadrants where cot t =.4142
NOW, go back and find y
for part b,just find when cos (t+pi/4) = cos t 
Thank You
Respond to this Question
Similar Questions

science
Which of the following does NOT describe a suspension? 
science
1.which two particles are found in an atoms nucleus? 
phyysicsplease help!
an arrangement of four charged particles, with angle θ = 34.0 ˚ and distance d = 1.50 cm. Particle 2 has charge q2 = 8.00 × 1019 C; particles 3 and 4 have charges q3 = q4 = 1.60 × 1019 C. What is the distance D between … 
physicshelp
In the figure below, four particles are fixed along an x axis, separated by distances d = 4.00 cm. The charges are q1 = +2e, q2 = e, q3 = +e, and q4 = +5e, with e = 1.60 × 1019 C. What is the value of the net electrostatic force … 
calculus
Two particles move along the xaxis. For 0≤t≤6, the position of particle P is p(t)=2cos(t*π/4), while the position of particle R is r(t)=t^36t^2+9t+3. For 0≤t≤6 find all the times which the two particles … 
Physics
Dust particles are trapped on a surface. There are two energy levels particles can be in: absorbed on a surface with zero energy, and wiggling with energy E=3/2kT. However, since the surface area is limited, not all particles can be … 
CALC 2
The position of particle P at time t is given by {x=t, y=3t1} and the position of particle Q at time t is given by {x=4t(t^2), y=t+1} a) Sketch both paths as well as possible. Be sure to label the paths with the particles (P and … 
Science
13.)How can substance A and B be compared? 
Physics
Two particles A and B,are of equal mass,and moving towards each other,with speeds of 3m/sand 2m/s respectively and collide.Particle B then strikes a plane surface,which is perpendicular to its direction of motion and the rebounce.If … 
Physics
Consider the figure above consisting of three particles of mass m attached to a massless rod. Given an axis of rotation through point P, the rod rotates as shown in the figure. If the rod is released from rest in the horizontal …