Problem 40 of 7
Find when projectile h(t)=-16(t-3)^2+100 reaches maximum height.
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identify vertex x-value.
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Projectile parabola must open downward.
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Solution
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1. Use vertex form or compute -b/(2a).
2. Identify the t-coordinate of the vertex.
3. State that time as when maximum height occurs.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
The time when height equals zero unless it is also the vertex, which is not a normal projectile case.