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Answer:
The rocket will reach its highest point about 2.04 seconds.
Step-by-step explanation:
The function:
Models the relationship between the height of the rocket and the time after launch t in seconds.
Since this is a quadratic function, the rocket will reach its highest point at its vertex. The vertex of a quadratic is given by:
In this case, a = -4.9, b = 20, and c = 0. Thus:
The rocket reaches its maximum height after 10/4.9 or about 2.04 seconds.
Further Notes:
Then the maximum height of the rocket will be f(10/4.9):