a ball is thrown into the air and its height (in meters) is given by (h(t) = -4.9t^2 + 45t + 1), where (t) is in seconds.

a. after how long does the ball reach its maximum height? round to 2 decimal places.
seconds

b. what is the maximum height of the ball? round to 2 decimal places.
meters

Question

a ball is thrown into the air and its height (in meters) is given by (h(t) = -4.9t^2 + 45t + 1), where (t) is in seconds.

a. after how long does the ball reach its maximum height? round to 2 decimal places.
seconds

b. what is the maximum height of the ball? round to 2 decimal places.
meters

Accepted Answer

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Question

Explanation:

Find the derivative of the height function

Determine the time to reach maximum height

Calculate the maximum height

Answer:

Question a

Question b