A rocket travels in a trajectory given by the equation s = - 4.9t 2 + v0t, where s is meters above ground, t is time in seconds and v0 is the initial velocity. If the intial velocity is 49 m/sec, after how many seconds will the rocket reach its maximum height?

Question

Mathematics

Aliana Huffman

22 January, 05:28

A rocket travels in a trajectory given by the equation s = - 4.9t 2 + v0t, where s is meters above ground, t is time in seconds and v0 is the initial velocity. If the intial velocity is 49 m/sec, after how many seconds will the rocket reach its maximum height?

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Answers (1)

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Gary Avery · Answer 1

Step-by-step explanation:

s = - 4.9t² + 49t

The vertex of the parabola is at t = - b / (2a).

t = - 49 / (2 * - 4.9)

t = 5

The rocket reaches its maximum height after 5 seconds.