Two rockets, A and B, are shot from two different launch pads. The path of rocket A can be represented by the quadratic function A (t) = - (t - 8) 2 + 535, where height, A (t), is in meters, and time, t, is in seconds. The path of rocket B is shown below.

Question

Darrell Conrad

Mathematics

6 March, 02:40

Two rockets, A and B, are shot from two different launch pads. The path of rocket A can be represented by the quadratic function A (t) = - (t - 8) 2 + 535, where height, A (t), is in meters, and time, t, is in seconds. The path of rocket B is shown below.

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Lawson Archer · Answer 1

A (t) = - (t - 8) 2 + 535

You would like to find the maximum of this function: - (t - 8) ^2 This part is always negative or zero as a number squared cannot be negative and you multiply by - 1: Thus the maximum of this part MAX: - (t - 8) ^2=0

The max will be when t=8 and its value is 535