Atoy rocket is launched from a platform 36 feet above the ground at a speed of 97 feet per second. the height of the rocket in feet is given by the polynomial −16t^2 + 97t + 36, where t is the time in seconds. how high will the rocket be after 3 seconds?

The height of the rocket after 3 seconds = 183 feet

Step-by-step explanation:

Given:

Rocket is initially launched from a height of 36 feet.

Initial speed of the rocket = 97 ft/s

The height of the rocket at any time in seconds is given as:

To find the height of the rocket after 3 seconds.

Solution:

The height function of the rocket is:

In order to find the height of the rocket after seconds we plugin in the function.

Thus, height of the rocket after 3 seconds = 183 feet.

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