Step-by-step explanation:
The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :
....(1)
(a) For maximum height, put ![\dfrac{df(x)}{dt}=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bdf%28x%29%7D%7Bdt%7D%3D0)
So,
![\dfrac{ d(-12x^2 + 60x + 5)}{dt}=-24x+60](https://tex.z-dn.net/?f=%5Cdfrac%7B%20d%28-12x%5E2%20%2B%2060x%20%2B%205%29%7D%7Bdt%7D%3D-24x%2B60)
Now put,
![-24x+60=0\\\\x=2.5\ s](https://tex.z-dn.net/?f=-24x%2B60%3D0%5C%5C%5C%5Cx%3D2.5%5C%20s)
So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.
(b) Put x = 2.5 s in equation (1)
18<span>,36,54,72,90,108,126,144,162,180,198,216,234,252,
hope this helps!</span>
I'm pretty sure it's 7 and 1/7
Answer: It should equal 10
Step-by-step explanation: X=10
The average rate of change is 1.