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November 26th, 2013, 12:17 PM   #1
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ASAP! Please Help With This!

I asked this question previously and I didn't receive that much help but I really do need help with this. Thank you very much to the person who helps



On Earth, the quadratic relation h = -5t2 + ut + ho can be used to determine the height of an object that has been thrown as it travels through the air, measured from a reference point. In this relation, h is the height of the object in metres, t is the time in seconds since the object was thrown, u is the initial velocity, and ho is the initial height.

1)
Myrtle throws a ball upward from a second-floor balcony, 6 m above the ground with an initial velocity of 2 m/s. In this situation, u = 2 and ho = 6, so the relation that models the height of the ball is h = -5t2 + 2t + 6. Myrtle knows that changing the velocity with which she throws the ball will change the maximum height of the ball. Myrtle wants to know with what velocity she must throw the ball to make it pass over a tree that is 11 m tall.
i) Suppose that Myrtle just dropped the ball from the balcony, with an initial velocity of 0 m/s Write the quadratic relation that models this situation.
ii) What is the maximum height of the ball?

2)
Complete the square on h = -5t2 + 2t + 6 to determine the maximum height of the ball when Myrtle throws the ball with an initial velocity of 2 m/s.

3)
Will Myrtle have to increase or decrease the initial velocity with which she throws the ball for it to clear the tree? Explain how you know.

4)
Create relations to model the height of the ball when it is thrown from a second-floor balcony with initial velocities of 4 m/s and 6 m/s. Then determine the maximum height of the ball for each relation.

5)
Using the graphing calculator, create a scatter plot to show the maximum heights for initial velocities of 0 m/s, 2 m/s, 4 m/s and 6 m/s. Is this relation quadratic? Explain how you know.

6)
Use quadratic regression to determine the algebraic model of your scatter plot in the question above.

7)
Use the model you created for the question above to determine the initial velocity necessary for the ball to clear the tree. Write the equation in standard form, then complete the square to show the maximum height of 11 m.


Thank you very much
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November 26th, 2013, 12:22 PM   #2
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Re: ASAP! Please Help With This!

Can we have your teacher's email address so we can confirm it's ok to do your homework?
Denis is online now  
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