Quadratic Formula Help

iotiX

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Jul 19, 2005
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I can't seem to find out how they found this answer... it involves the quadratic formula, but i have NO clue how to find the answer.

Problem:
A ball is thrown upward from an initial height of 20 meters at an initial velocity of 10 meters per second. Write an equation for the heigh h of the ball t seconds after being thrown.

Answer: h = -4.9t^2+10t+20

Please show the steps involved , so i can solve problems like this one in the future.
 
I don't see how this involves the quadratic formula, since it's asking you the create a function, not solve an equation.

You should memorize the following, since your course apparently expects you to know this;

. . . . .For initial height h<sub>0</sub> and initial velocity v<sub>0</sub>, and with
. . . . .the constant g due to gravity being "-4.9" for "meters"
. . . . .problems and "-16" for "feet" problems, the height s(t)
. . . . .at time t (in seconds) is given by:

. . . . .s(t) = gt<sup>2</sup> + v<sub>0</sub>t + h<sub>0</sub>

Plug your values in.

Eliz.
 
ah. that's rather strange, since the chapter is about the quadratic formula... oh well, thanks for the help.
 
iotiX said:
I can't seem to find out how they found this answer... it involves the quadratic formula, but i have NO clue how to find the answer.
Problem:
A ball is thrown upward from an initial height of 20 meters at an initial velocity of 10 meters per second. Write an equation for the heigh h of the ball t seconds after being thrown.
Answer: h = -4.9t^2+10t+20

Of course, -4.9t^2 + 10t + 20 - h = 0 is a quadratic,
and you'd use it to solve for t given h,
but, as Eliz tells you, that's NOT what your problem states.
 
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