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2.07: Literal Equations Project

Mrs. Kerins

by: Christine Lalgee

Question Number 1

Question Number Four

The distance traveled by an object can be modeled by the equation d = ut + 0.5at2 where d = distance, u = initial velocity, t = time, and a = acceleration. Solve this formula for a. Show all steps in your work.

Marcie wants to enclose her yard with a fence. Her yard is in the shape of a triangle attached to a rectangle. See the figure below.

Rewrite equation- d= ut + 0.5at^2 : now you have to subtract *ut on both sides.

New equation: d - ut= 0.5at^2 : now you have to divide 0.5 on both sides.

Changed equation: 0.5(d - ut)= at^2 : now you have to divide t^2 on both sides.

Changed equation: 2d - 2ut = a : note- 0.5 is also equal to 2

------------

t^2

Question Number Two

The distance traveled by a falling object is given by the formula d = 0.5gt2 where d = distance, g = the acceleration due to gravity, and t = time. Solve this equation for g, and use your formula to determine the acceleration due to gravity if a baseball takes 10 seconds to hit the ground after being dropped from a height of 490 meters. Show all steps in your work.

The area of this figure can be found by the formula A = (wh) + 0.5(bh). If Marcie wants the total area to be larger than a specified value, she can use the formula A > (wh)+ 0.5(bh). Rewrite this formula to solve for b. Show all steps in your work.

Rewrite equation- d= 0.5gt^2 : now you have to divide 0.5t^2

New equation- 2d= g : now, t = 10 and d = 490. We have to find value of *g

----- : now you have to replace the *t with 10 and

t^2 replace the *d with 490

Changed equation- 2(490)= g : after the equation is solved, the answer will

---------- equal up to- 9.8

10^2

Rewrite equation- A > (wh) + 0.5(bh) : now you have to subtract *wh on both sides

New equation- A - wh > 0.5(bh) : now you have to divide *0.5h on both sides

Changed equation- 2A - 2wh > b

--------------

h

The End!

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Question Number Five

Question Number Three

Find a formula that is used in sports or leisure activities. Be sure that formula has at least two variables. Rewrite your formula to solve for the other variable. Show all steps in your work.

Two boys want to use a seesaw, and they need to move the seesaw so that their weights will balance out. The formula is given by w1 • d1 = w2 • d2 where w1 = weight of the first boy, d1 = distance of the first boy from the fulcrum, w2 = weight of the second boy, and d2 = distance of the second boy from the fulcrum. Rewrite the formula to solve for d2. Show all steps in your work.

There are many formulas used in many different sports in today's world. An example of a sport that uses formulas is, "Basketball". In basketball, depending on how much points you make behind the two or three pointer line, you can get free throws.

Example Equation- 3w + 2x + y= z

3= three pointer shots | w= the amount of three pointer shots you make

2= two pointer shots | x= the amount of two pointer shots you make

y= the amount of free throws you made | z= the total points you made throughout

the basketball game.

Formula for equation: d^2= w^1 • d^2

------------

w^2

Solving for the equation: You have to divide both sides by *w^2

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