Question

The are no negative coefficientsEvaluate the real world polynomial. (1 point each)Charlize wants to measure the depth of an empty well. She drops a ball into the well and measures how long ittakes the ball to hit the bottom of the well. She uses a stopwatch, starting when she lets go of the ball and endingwhen she hears the ball hit the bottom of the well. The polynomialh = -16t? + 6 represents how far the ball has fallen after t seconds.4. How far has the ball fallen after one second?5. Charlize's stopwatch measured a time of 3.2 seconds when the ball hit thebottom of the well. How deep is the well?Evaluate the real world polynomial. (2 points)

Answer 1

The polynomial:

`h=-16t^2+6`

represents how far the ball has fallen after t seconds (I will assume that h is measured in ft)

4) After 1 second means that t = 1. Substituting this value into the formula:

`\begin{gathered} h=-16\cdot1^2+6 \\ h=-16\cdot1^{}+6 \\ h=-16+6 \\ h=-10 \end{gathered}`

The ball fell 10 ft

5) Substituting with t = 3.2 seconds into the formula, we get:

`\begin{gathered} h=-16\cdot3.2^2+6 \\ h=-16\cdot10.24+6 \\ h=-163.84+6 \\ h=-157.84 \end{gathered}`

The well has a depth of 157.84 ft