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The height of a projectile, in metres, is modelled by H(t) = -5t2 + 10t + 8, where time, t, is in seconds. Use an algebraic strategy to verify that the maximum height of the projectile is 13 m and it occurs at 1 second.

The height of a projectile, in metres, is modelled by H(t) = -5t2 + 10t + 8, where time, t, is in seconds. Use an algebraic strategy to verify that the maximum height of the projectile is 13 m and it occurs at 1 second.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The height of a projectile, in metres, is modelled by H(t) = -5t² + 10t + 8, where time, t, is in seconds. Use an algebraic strategy to verify that the maximum height of the projectile is 13 m and it occurs at 1 second.
Transcribed Image Text:The height of a projectile, in metres, is modelled by H(t) = -5t² + 10t + 8, where time, t, is in seconds. Use an algebraic strategy to verify that the maximum height of the projectile is 13 m and it occurs at 1 second.
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