Question

Please Help Me I Will Give You The Brain Crown And Extra Points! Pt2

A projectile’s maximum height is shown by the vertex of the parabola. When does the cannonball reach its maximum height? Round to the nearest whole number and remember to include units.

Answer 1

Answer: 2 seconds

=========================================================

Step-by-step 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,

• a = -4.9
• b = 19.8
• c = 58

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.

-----------------

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.