Monday

December 22, 2014

December 22, 2014

Posted by **Barbara** on Saturday, January 3, 2009 at 4:30pm.

a. what is the farthest apart the particles ever get?

b. when do the particles collide?

- calculus -
**bobpursley**, Saturday, January 3, 2009 at 4:31pmI think it would be of more benefit if you posted your thinking or work, and we critiqued it.

- calculus -
**Barbara**, Saturday, January 3, 2009 at 4:36pmWell I am in AP Calculus and I don't understand the class to well.

- calculus -
**Damon**, Saturday, January 3, 2009 at 4:56pmdifference = 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 2-1) = 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

- calculus -
**Barbara**, Saturday, January 3, 2009 at 5:04pmThank You

**Answer this Question**

**Related Questions**

math - evaluate the expressions below and leave them in radical form. 1. sin(pie...

calculus - Two particles move along the x-axis. For 0≤t≤6, the ...

Calculus - tan 0=1 csc 0 = sqrt. 2 cos 0 = sin 0 os 0 = cos (-pie/6) The 0s ...

Calculus grade 12 - solve for (<_ = less than or equal to / pie = pie sign...

maths - Choose the two options which are true for all values of x 1) cos (x) = ...

calculus - Hi i have two questions: what is the exact value of cos 5(pie)/12? ...

Physics - 1)Three positive particles of charges 9µC are located at the corners ...

CALC 2 - The position of particle P at time t is given by {x=t, y=3t-1} and the ...

calculus - Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x...

Physics 1 - Two small particles of mass 16 kg and 27 kg are a distance 1.4 m ...