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?
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?
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