Friday, February 4, 2011

Math Component

    Math Component

Step 1: Identify the equation. Use the projectile motion formula:
 h= -16t2+v0t+h0.  Now plug in the initial velocity of 192feet per second for v0t and 32 feet as the h0.
     It should look like this: h= -16t2+ 192t+32. We are looking for the cannon ball’s highest point(vertex) and how long the cannon ball is in the air (use the quadratic formula).

Step 2: Identify the variables and then find the vertex by using
a= -16
b= 192
c= 32     Now plug and chug.  = 6

Step 3: Now plug in 6 as “t” to find the highest point the ball will go.
h= -16(6) + 192(6) + 32. Your answer should be: 608 feet as the cannon ball’s maximum height.

Step 4: To find the cannon ball’s time in the air, use the quadratic formula and plug in “a”, “b” and “c” from step 2.
x= -b ± √ b2-4ac/ 2a
x= -(192) ± √ (192)2-4(-16)(32)/ 2(-16)
x= -192 ± √ 38,912/-32

 
 
Step 5: Your answer should be positive since time cannot go backwards. So x= 12 is the correct time.

4 comments:

  1. I got 12, too. (: Although you might want to add .16 to the end of 12, because Mrs. Tyrpak told me she wanted it rounded to the nearest hundredths place.

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  2. ya i must agree on what amanda said you must make a more specific number

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  3. i believe that you should do something with the "x=" rather than just having it "floating" there.Space between 192 and feet under the first step.But other wise great job.

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