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TchrWill
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The time taken to travel the horizontal distance of 36.3m derives from t = 36.3/17 = 2.135 sec. The height of the building then derives from h = Vo(t) + gt^2/2 or h = 0(2.135) + 4.9(2.135)^2 or h = 22.33m.
The two legs form the right angle and the hypotenuse is the longest side, being opposite the right angle. In any right triangle, the sum of the squares of the two sides is equal to the square of the hypotenuse. x^2 + y^2 = z^2 You have the two sides of 5
Two stunt drivers drive directly toward each other. At time t=0 the two cars are a distance D apart, car 1 is at rest, and car 2 is moving to the left with speed Vo. Car 1 begins to move at t=0, speeding up with a constant acceleration Ax. Car 2 continues
What 2 numbers sum to -15 and multiply to 56? The coefficients derive from x + y = -15 and xy = 56 Then, x + 56/x = -15 Then, x^2 + 15x + 56 = 0 Then, x = [-15+/-sqrt(225 - 224)]/2 ......x = [-15+/-1]/2 yielding x = -8 and y = -7 or (x - 8)(x - 7) = x^2 -
Let R = the number of rows. Let Sb = the number of seats in each row The seats in the theater are arranged in parallel rows that form a rectangular region. Then, from "The number of seats in each row of the theater is 16 fewer than the number of rows" or
* The altitude to the hypotenuse of a right triangle creates two similar triangles, each similar to the original right triangle and to each other. * The altitude to the hypotenuse of a right triangle is the geometric mean between the segments of the
help me with sequences problem.So if the sequence is 2,5,10,17,26 +3 +5 +7 +9 1st difference +2 +2 +2 2nd difference then the nth term can be worked out by writing out : n 1 2 3 4 n squared 1 4 9 16 original sequence 2 5 10 17 nth term= n squared+1 but
What interval of time passes between train A passing the station and train B reaching the station? How far does train A travel in the time it takes train B to reach the station.? How far is train A from train B when train B passes the station, or what
There an infinite number or ordered pairs satifying 2x - 3y = 12. 1--Divide through by the lowest coefficient, 2, yielding x - y - y/2 = 6. 2--y/2 must be an even integer k making y = 2k 3--Subbing back into (i) yields 2x - 6k = 12 making x = 6 + 3k
The moon spins,or_____ ,in space. The words to use for this is revolves ...rotates...orbit lunar eclipse...or solar eclipse The moon spins, or ROTATES, on its axis and REVOLVES around the earth.
The height may be derived from the equation for the period ...T = 2(Pi)sqrt(r^3/µ) where T = the orbital period in seconds, r = the orbital radius and µ = the earth's gravitational constant. A geosycnchronous orbit is one with a period equal to the
You left out the cost of the purchases, typically $100. Here is a similar version of this oldie. If you had a $100.00 to spend and need to buy a 100 animals, and cows cost $10.00, pigs $3.00, chichens .50 cents each,.how many of each can you buy? Let C, P,
There are numerous ways for determining the characteristics of orbiting bodies and the whole subject, from the historical point of view, is a facinating one. If you know the mean distance and orbital period of a satellite orbiting the earth, such as the
The following should provide you with sufficient clues as to how to solve your problem. A question that often arises amongst cruise passengers is how high a building can be seen from a ship at sea? A similar reverse question is how far can one see from the
The specific impulse of therocket motot is Isp = 3200/9.8 = 326.53. The delta velocity input perpendiculr to the probes initial direction is dv = 120tan30º = 69.28m/s. Since dv = Isp(g)ln(Wo/Wbo) where Wo = the ignition weght and Wbo = the burnout weight,
Since all 6 points on the circumference of the circle are equally spaced, the string running from each outer point to, and around the center point, and back to the next outer point forms 6 equilateral triangles. The 6 angles formed by the radial strings
You have a total of 21 coins, all nickels and dimes. The total value is $1.70. Write and solve a system of equations to find the number of dimes d and the number of nickels n that you have. I already wrote the equations: n+d=21 and 10d+5n=1.70. But I don't
Europa is one of Jupiter's moons. This moon is in a circular orbit of 6.71x10^8 meters within a period of 3.55 days. What is the mass of Jupiter? The time it takes a satellite to orbit a central body, its orbital period, can be calculated from T =
The simple approach The L.C.M. (Lowest Common Multiple) of the numbers 2 through 6 inclusive is 2^2x3x5 = 60. The smallest number satisfying the divisors of 2 through 6 with remainders of 1 is therefore 60 + 1 = 61. Clearly, any multiple of 60 plus a 1
Starting with $X, first week spends 3X/5, leaving him with 2X/5. Second week spends 1/3(2X/5. He therefore spent 3X/5 + 2X/15 which is equal to $110. Solve for X.
Technically, when you detach yourself from the balloon, you have an initial upward velocity of 2m/s which, after 0.20sec, you will rise .204m. Ignoring this, the time to reach the ground derives from h = Vot + gt^2/2 or 1000 = o(t) + 9.8t^2/2 yielding a
a) 42,000 = P(1.04)^4 making the population 4 years ago 35,902. b) 42,000 = 13,000(1.04)^n making n = 29.9 or 29 whole years.
Lf=[(CwMw+CsMs+CcMc)(To-Tf)//Mi-CwTf values Cw=1.00; Mw=143.4; Cs=0.11; Ms=30.0; Cc=0.22; Mc=57.7;To=23.9; Tf=14.2;Mi=16.7 The closing parenthesis ] is missing. What does // mean after (To - Tf)? Is the first /supposed to be a ]? Until these items are
A blue car moving at constant speed of 10m/s passes a polic car that is at rest. The police car accelerates from rest at 4m/s^2 for 3.0 seconds and then maintains a constant speed. The blue car maintains constant speed for the entire 12 seconds. When does
Suppose your parents deposited $1500 in an account paying 3.5% interest compunded annually(once a year) when you ere born. Find the account balance after 18 years. So how do you plug all this information into this formula: B=p(1+r)^x? What will an amount
A gun that is spring-loaded shoots an object horizontally. The initial height of the gun is h=5 cm and the object lands 20 cm away. What is the gun's muzzle velocity? the choices I have are a. 2.0 m/s b. 1.0 m/s c. 3.2 m/s d. 4.9 m/s e. 3.9 m/s The time to
Ok so I know I have to convert the 88cm distance "d" in meters which comes out to 0.88m. The 18.4 degrees incremental rotation of the two disks to radians which comes out to 0.3211406 rad. The 634 rev/min rotational speed of the two disks comes out to
Your weight is a measure of the force with which gravity is pulling on you and the only reason you feel it is because of the equal and opposite force being applied to your body through your feet. The earth's gravity reaches out forever but the force of
What percentage, P, of the total investment did B invest? His share of the $415 profit will then be 415P.
You have two points identified; (5,0) and (9,1). The slope of the line passing through these two points is m = (y1-y2)/(x1-x2) or m = (1-0)/(9-4) = 1/4. Knowing the coordinates of point 1, (9,11), from y = mx + b, 1 = 9/4 + b making b = -5/4. The line is
You can determine the minimal escape velocity required to escape from any planet yourself. Escape velocity from a planet is given by Ve = sqrt[2µ/r] where Ve = escape velocity in feet per second, µ = the planet's gravitational constant, ft.^3/sec.^2
If the function h(t)= +45t -16t^2 +7 represents the distance, in feet, that the ball is form the ground at any time,the ball is thrown upward with a velocity of 45fps from a height of 7 feet above the ground. The final zero velocity of zero is reached from
The escape velocity for any body may be calculated from Ve = sqrt[2µ/r] where Ve = the escape velocity in feet per second, µ = the gravitational constant of the body (1.407974x10^16 ft.^3/sec.^2 for Earth) and r = the surface distance in feet. For earth,
