Initial Velocity and Time to Maximum Height
The height, in meters, of a projectile is modeled by the function , where is the time in seconds. If the projectile’s initial launch speed is increased by 5 m/s, the new height function is . How does this modification affect the time required for the projectile to reach its maximum height?
| Time, (s) | Original Height (m) | Modified Height (m) |
|---|---|---|
| 0 | 2 | 2 |
| 1 | 22.2 | 26.2 |
| 1.5 | 24.65 | 27.45 |
| 2 | 17.4 | 24.4 |
A
It decreases, with the maximum height occurring sooner.
B
It remains unchanged because the acceleration is constant.
C
It increases, delaying the vertex to approximately 1.79 seconds.
D
It becomes unpredictable due to nonlinear effects.
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