Mathematics - 28 November 2007

Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle phi south of east (as indicated in the figure). After the collision, the two-car system travels at speed v_final at an angle theta east of north.

What is the angle theta with respect to north made by the velocity vector of the two cars after the collision?

Express your answer in terms of phi. Your answer should contain an inverse trigonometric function.

I was trying to solve it by breaking it down the components in x & y direction.

so i did in x-direction: (2m)v_i cos (0) - (2m) 2v_i sin (theta) = (2m)v_i tan (theta)

Now i used the formula m1v1+m2v2= (m1+m2)v3

Since this is inelastic i thought the 2nd direction would be subtracted since energy isn't conserved.

Please help i tried to do the algebra and im confused. Am i even supposed to be using this equation?

2007-11-28 13:09:05 · 4 answers · asked by Anonymous

p+q=4 and 4p+q=1

2007-11-28 13:04:49 · 4 answers · asked by dzyldarchitects 2

Yup, back with another question.

2007-11-28 13:04:12 · 2 answers · asked by betty b 1

Determine which two equations represent parallel lines.
y= -5x+4
y=5x+4
y= 1/5x+4
y= -5x+6

2007-11-28 13:02:26 · 6 answers · asked by Sara R 1

2x+y=180

x=???
y=???

2007-11-28 13:01:12 · 8 answers · asked by st_gurl13 2

1.) Which of the ordered pairs
(0, 0), (–2, 10), (–1, –5), (–3, 9)
are solutions for the equation y = 5x?


2.) Which of the ordered pairs
(3, 1), (0, –4), (–4, 0), (–3, –7)
are solutions for the equation x – y = 4?

2007-11-28 12:56:50 · 5 answers · asked by Sara R 1

2007-11-28 12:54:16 · 8 answers · asked by USMC 4

how do you find the inverse of...
y=2x+1, and how do you graph that...
how do you graph y=x
how do you find the inverse of y=x
....and graph that...

2007-11-28 12:54:11 · 3 answers · asked by Katrina 2

http://apps.collegeboard.com/qotd/question.do?questionId=28&src=E


please explaine how to do this

i thought 1/4 which is wrong, or 4 which isnt even an option.

help appreciated thanks.

2007-11-28 12:51:58 · 8 answers · asked by Anonymous

First of all wth issss synthetic division.
Second of all...help please
The problem is: x^3 - 2x + 12 / x + 3
I have no idea what it even is???
& PLEASE don't just give me a friggin tutoring or tutorial
site. I need help with THIS SPECIFIC problem not an example.
Pleeease & Thankkkks.

2007-11-28 12:50:58 · 3 answers · asked by yeahh..its..me 2

i need to find the x and y intercept of
5x+2y= -10

2007-11-28 12:50:50 · 6 answers · asked by Jenna C 1

I worked it out as a long division problem....getting y - 5 for the answer, pretty basic, but how do I do it a second way? In fraction form?? How? Help!!

Thank you!!

2007-11-28 12:48:04 · 2 answers · asked by Smilingcheek 4

there are 960 bacteria.
(a) Find the population after t hours
y(t)=?
(b) Find the population after 3 hours.
y(3) = ?
(c) When will the population reach 1550 ?
T = ?

2007-11-28 12:44:28 · 3 answers · asked by simonkf2002 1

can someone help me with this please

2007-11-28 12:43:49 · 3 answers · asked by T P 1

A line passes thru the point (3,3) and forms a triangle in the first quadrant with the x and y coordinate axes. The area of the triangle is 24. What is/are the equation(s) of the line(s)?

I can see the answer just by looking at it, but deriving a solution is elusive. I am looking for a solution that doesn’t just involve stating what the x and y intercepts are without deriving them, because that trivializes the problem.

2007-11-28 12:43:28 · 7 answers · asked by Northstar 7

2007-11-28 12:40:59 · 2 answers · asked by victoria r 1

I didn't get an improper fraction I got -3/4

2007-11-28 12:37:24 · 5 answers · asked by ♥♡stephi♡marie♡♥ 2

let me explain my friend makes 19.00 and for a shift differential it is 10% more for swings so how much would she actually be making an hour

2007-11-28 12:36:42 · 5 answers · asked by Anonymous

Polynomial Optimization Applications questions, I don't know how to find the answers. thanks.?
If c(x) is the cost of producing x units, then c(x)/x is the average cost per unit. Suppose the cost per unit. Suppose the cost of the producing x units is given by
c(x)=0.13X^3-70x^2 +100000x ans that no more than 300 units can be produced PER WEEK.
a.If the average cost is $1100 per unit, how many units are being produced?
b.what production level should be used in order to minimize the average cost per unit? What is the minimun average cost?
the answers are
a. Approximately 206units are produced.
b. the minimum value of about 577 dollars per unit occurs when about 269units are produced.

2007-11-28 12:24:37 · 1 answers · asked by Anonymous

2007-11-28 12:19:50 · 1 answers · asked by Tim H 1

1.( Consider the function f (x) = 4-2x^2 on the interval
[-2,7].
(A) Find the average or mean slope of the function on this interval,
f (7)- f (-2)/7-(-2)

(B) By the Mean Value Theorem, we know there exists a c in
the open interval (-2,7) such that f 0(c) is equal to this mean
slope. For this problem, there is only one c that works.
c =?

help......help

2007-11-28 12:16:24 · 1 answers · asked by aminer_lover90 1

2007-11-28 12:16:22 · 3 answers · asked by Daisha G 1

If f(x-3) = x^3 + 2x^2 + 7x +1, determine f(x)

I'm at a complete loss as to figuring out the process that you would need to solve this problem. Any help would be highly appreciated, thanks so much!

2007-11-28 12:15:45 · 2 answers · asked by Student of Math 2

2007-11-28 12:15:39 · 1 answers · asked by Anonymous

The value of c is the value of a^2 + b^2 when a=2 and b= -2.

Find the value of c^2 - 4.

Find another way to solve this problem.

I did a^2 + b^2 = c
2^2 + (-2)^2=c
4 + 4 + c
c = 8

so c^2 - 4 = v
8^2 - 4 = v
64 - 4 = v
v = 60

What is another way to solve it??

2007-11-28 12:07:56 · 6 answers · asked by Smilingcheek 4

change the standform form equation x-3y= -4 to slope intercept form please?

2007-11-28 12:05:05 · 19 answers · asked by *click* 3

can you tell me how to round off 00507506 to four significant figures?

2007-11-28 12:03:30 · 4 answers · asked by Anonymous

2007-11-28 11:53:57 · 7 answers · asked by Anonymous

Plz lemme no if u no the answers 2 any or all these questions

1) Let a = (1, 8, 1) and b = (3, 3, 4) be vectors.
Compute the cross product aXb. (?,? ,?)

2) If a = i + 10j + k and b = i + 19j + k, find a unit vector with positive first coordinate orthogonal to both a and b.
_i + _j + _k

3)Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P = (5, 2, 0), Q = (9, 6, 4), and R = (9, 6, 7).
(?,?,?)

4)Find the parametric equations for the line through the point P = (-2, 3, 0) that is perpendicular to the plane 1x - 5y + 0z = 1.
Use "t" as your variable, t = 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. x= y= z=

At what point Q does this line intersect the yz-plane? Q=(?,?,?)

5)) Consider the two lines
L1: x = -2t, y = 1 + 2t, z = 3t and
L2: x = -8 + 4s,y = 0 + 5s, z = 5 + 1s

Find the point of intersection of the two lines.
P = (, , )

2007-11-28 11:53:35 · 1 answers · asked by Anonymous

A smokestack deposits soot on the ground with a concentration inversely proportional to the square of the distance from the stack. With two smokestacks 20 miles apart, he concentration of the combined deposits on the line joining them, at a distance [x] from one stack is given by,

S = (k1/x^2) + (k2/[20-x]^2)

where k1 and k2 are positive constants which depend on the quantity of smoke each stack is emitting. If k1 = 7k2, find the point on the line joining the stacks where the concentration of the deposit is a MINIMUM.

2007-11-28 11:42:11 · 1 answers · asked by hello. 1