A2CP: 4.1-4.4 Review

Front

What is the function h(t) that describes the height of the rocket?

Back

h(t) = -0.5t^3 + 3t^2 + 4t + 10

Front

What does the leading coefficient of a polynomial indicate about its end behavior?

Back

The leading coefficient indicates the direction of the graph as t approaches positive or negative infinity. A negative leading coefficient means the graph falls to the right.

Front

How do you find the maximum height of a polynomial function?

Back

To find the maximum height, take the derivative of the function, set it to zero, and solve for t. Then substitute t back into the original function.

Front

What is the significance of the roots of the function h(t)?

Back

The roots of the function represent the times when the rocket is at a height of 0 feet (when it reaches the ground).

Front

How do you determine the time when the rocket reaches a specific height?

Back

Set h(t) equal to the desired height and solve for t.

Front

What is the maximum height of the rocket according to h(t)?

Back

The maximum height of the rocket is 43.2 feet.

Front

At what time did the rocket first reach 30 feet?

Back

The rocket first reached 30 feet at t = 2.4 seconds.

Front

At what time did the rocket reach 30 feet the second time?

Back

The rocket reached 30 feet the second time at t = 6.3 seconds.

Front

How long did it take for the rocket to reach the ground?

Back

It took 7.4 seconds for the rocket to reach the ground.

Front

What is the degree of the polynomial h(t)?

Back

The degree of the polynomial h(t) is 3.