Question

the pathway of sams dive into the swimming pool can be represented by the equation h=-16t²+15t+12 (where t=time in seconds and h = height in feet). what is sam's height after 2 seconds?

Answer 1

Given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

Given the data in the question

• Equation of the pathway of sams dive into the swimming pool is h = -16t² + 15t + 12.
• Time t = 2.0 seconds
• Height h = ?

Now, to get the height after 2 seconds, we substitute 2 for t in the equation.

h = -16t² + 15t + 12.

If t = 2

h = -16(2)² + 15(2) + 12

h = -16(4) + 30 + 12

h = -64 + 30 + 12

h = -64 + 42

h = -22ft

Therefore, given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.

Learn more about quadratic equations here: brainly.com/question/1863222

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