At a time t seconds after it is thrown up in the air, a tomato is at a height (in meters) of f(t)=−49t^2+60t+3 m.

What is the average velocity of the tomato during the first 5 seconds?

How high does the tomato go?

How long is the tomato in the air?

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- Oct 7th 2008, 12:35 PMcwarzechavertex of parabola
At a time t seconds after it is thrown up in the air, a tomato is at a height (in meters) of f(t)=−49t^2+60t+3 m.

What is the average velocity of the tomato during the first 5 seconds?

How high does the tomato go?

How long is the tomato in the air? - Oct 7th 2008, 02:06 PMskeeter
forgot a decimal in your function ...

$\displaystyle f(t) = -4.9t^2 + 60t + 3$

$\displaystyle V_{avg} = \frac{f(5) - f(0)}{5 - 0}$

t-value for the vertex of f(t) (time at the top of its trajectory) is $\displaystyle \frac{-b}{2a}$ ... then find $\displaystyle f\left(\frac{-b}{2a}\right)$

total time ... set f(t) = 0 and solve for t - Oct 7th 2008, 02:19 PMcwarzecha
How do you know what b and a are?

- Oct 7th 2008, 02:20 PMcwarzecha
never mind i got it, thanks