Answer:
60
Step-by-step explanation:
The given function is:
![h(t)=-16t^2+120t+6](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E2%2B120t%2B6)
The average rate of change of h(t) from t=a to t=b is given by:
![\frac{h(b)-h(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%28b%29-h%28a%29%7D%7Bb-a%7D)
We can rewrite this function as: ![h(t)=-16(t-3.75)^2+231](https://tex.z-dn.net/?f=h%28t%29%3D-16%28t-3.75%29%5E2%2B231)
The maximum height of the rocket is 231 and it occurs at t=3.75
![\implies h(3.75)=231](https://tex.z-dn.net/?f=%5Cimplies%20h%283.75%29%3D231)
The initial launch occurs at: t=0
and ![h(0)=-16(0)^2+120(0)+6=6](https://tex.z-dn.net/?f=h%280%29%3D-16%280%29%5E2%2B120%280%29%2B6%3D6)
The average rate of change from the initial launch to the maximum height is
![\frac{h(3.75)-h(0)}{3.75-0}=\frac{231-6}{3.75-0} =60](https://tex.z-dn.net/?f=%5Cfrac%7Bh%283.75%29-h%280%29%7D%7B3.75-0%7D%3D%5Cfrac%7B231-6%7D%7B3.75-0%7D%20%3D60)
Answer:
6.16.
Step-by-step explanation:
hope this helps.
Answer:
33 m/s
Step-by-step explanation:
120 km/h × (1 h)/(3600 s) × (1000 m)/(1 km) ≈ 33 m/s
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<em>Additional comment</em>
In general, units conversion is done by multiplying by a factor whose numerator and denominator have equal values, but different units. The units in that fraction need to be arranged to cancel the units you don't want and leave the units you do want.
A) I believe but you might not want to go with it cause I'm not good at math AT ALL:)