She can expect 522 people to take the advanced course.
Answer:The number of seconds after rocket is released
Step-by-step explanation:
Given
The height of a rocket after it is released is modeled by
![h\left ( t\right )=-16t^2+32t+10](https://tex.z-dn.net/?f=h%5Cleft%20%28%20t%5Cright%20%29%3D-16t%5E2%2B32t%2B10)
Here t represent the number of seconds after the rocket is released.
Initial velocity can also be determined by this equation by differentiating the
w.r.t time
![\frac{\mathrm{d}h(t)}{\mathrm{d} t}=-32t+32](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7Dh%28t%29%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D-32t%2B32)
at t=o
![\frac{\mathrm{d}h(t)}{\mathrm{d} t}=32](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7Dh%28t%29%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D32%20)
thus initial velocity will be 32 units/s
2 × 3 = 6
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