Answer:
<h3>H. 150 ft</h3>
Step-by-step explanation:
Given the height of a golf ball in feet modelled by the formula h(t) = -16t² + 100x where t is in seconds, we are to find the height of the golf after 2.5 seconds. To do that we will simply substitute t = 2.5secs into the formula given;
![h(t) = -16t^2 + 100x\\\\h(2.5) = -16(2.5)^2 + 100(2.5)\\\\h(2.5) = -16(6.25) + 250\\\\h(2.5) = -100+250\\\\h(2.5) = 150\\\\](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%20100x%5C%5C%5C%5Ch%282.5%29%20%3D%20-16%282.5%29%5E2%20%2B%20100%282.5%29%5C%5C%5C%5Ch%282.5%29%20%3D%20-16%286.25%29%20%2B%20250%5C%5C%5C%5Ch%282.5%29%20%3D%20-100%2B250%5C%5C%5C%5Ch%282.5%29%20%3D%20150%5C%5C%5C%5C)
Hence the height of the golf after 2.5 seconds is 150ft.
Answer:
Part 1) The speed is ![211.2\frac{ft}{sec}](https://tex.z-dn.net/?f=211.2%5Cfrac%7Bft%7D%7Bsec%7D)
Part 2) ![2,112\ ft](https://tex.z-dn.net/?f=2%2C112%5C%20ft)
Step-by-step explanation:
Part 1
<em>What is this speed on feet per second?</em>
we know that
1 hour=60 min
1 min=60 sec
so
1 hour=60*60=3.600 sec
1 mi=5,280 ft
we have
![144\frac{mi}{h}](https://tex.z-dn.net/?f=144%5Cfrac%7Bmi%7D%7Bh%7D)
Convert mi/h to ft/sec
![144\frac{mi}{h}=144\frac{(5,280)}{(3,600)}=211.2\frac{ft}{sec}](https://tex.z-dn.net/?f=144%5Cfrac%7Bmi%7D%7Bh%7D%3D144%5Cfrac%7B%285%2C280%29%7D%7B%283%2C600%29%7D%3D211.2%5Cfrac%7Bft%7D%7Bsec%7D)
Part 2
At this speed how many feet will the parachutists fall during 10 seconds on free fall?
Multiply the speed by the time to obtain the distance
so
![211.2\frac{ft}{sec}(10\ sec)=2,112\ ft](https://tex.z-dn.net/?f=211.2%5Cfrac%7Bft%7D%7Bsec%7D%2810%5C%20sec%29%3D2%2C112%5C%20ft)
Answer:
0.6 or 3/5
Step-by-step explanation:
If cos(t) = 4/5, then, taking the arccos of both sides, t ≈ 36.86989765. Taking the sin of that gives you 0.6, or 3/5 in fraction form.
Answer:
D
Step-by-step explanation:
This is the only reasonable answer
Answer: 1 1/4
Step-by-step explanation: