<h3>
Answer: 2 seconds</h3>
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Explanation:
I'll be using x in place of t
The equation given is y = -4.9x^2 + 19.8x + 58
It is of the form y = ax^2 + bx + c which is the standard form for quadratics.
We have,
Plug the first two values into the equation below
h = -b/(2a)
h = -19.8/(2*(-4.9))
h = 2.0204081632653
That value is approximate.
Rounding to the nearest whole number gets us roughly h = 2
Recall that (h,k) is the vertex of the parabola. In this case, it's the highest point. The cannonball reaches the highest point at roughly 2 seconds.
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Extra side notes:
- To find the maximum height, plug the h value into the original equation. This will yield the value of k.
- To find the cannonball's flight time, plug in y = 0 and solve for x. Ignore the negative x solution.
