To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.
Answers: maximum height = 5 ft
time it will reach the ground = 10 s
The total amount shared by the friends illustrates mean and average, and the amount spent by each friend is $11.5
<h3>How to determine the amount?</h3>
The given parameters are:
- Total = $76
- Tip = $16
- Number of friends = 8
The amount spent by each friend is calculated using:
Amount = (Total + Tip)/Number of friends
So, we have:
Amount = (76 + 16)/8
Evaluate
Amount = 11.5
Hence, the amount spent by each friend is $11.5
Read more about mean and average at:
brainly.com/question/20118982
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16 or 4^2
This is really saying is 1/(1/4^2)
300000 km/sec x 3600 sec/hr=1080000000 km/hr
1080000000 km/hr / 1.6 km/m=675000000 mph
☺☺☺☺

Now, If the exponent was negative like you asked....