Answer:
-3
Step-by-step explanation:
2+(-5)
2-5=-3
that is you solve the equation and trace it on the number line
Answer:
10
Step-by-step explanation:
If Daisy is originally 5 years old, then Olivia would be three times her age which is 15 years old.
After 5 years pass, Daisy will be 10 years old and Olivia will be 20 years old, making Olivia twice as old as Daisy now.
Answer:
a) Average velocity at 0.1 s is 696 ft/s.
b) Average velocity at 0.01 s is 7536 ft/s.
c) Average velocity at 0.001 s is 75936 ft/s.
Step-by-step explanation:
Given : If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, its height in feet after t seconds is given by
.
To find : The average velocity for the time period beginning when t = 2 and lasting. a. 0.1 s.
, b. 0.01 s.
, c. 0.001 s.
Solution :
a) The average velocity for the time period beginning when t = 2 and lasting 0.1 s.
![(\text{Average velocity})_{0.1\ s}=\frac{\text{Change in height}}{0.1}](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.1%5C%20s%7D%3D%5Cfrac%7B%5Ctext%7BChange%20in%20height%7D%7D%7B0.1%7D)
![(\text{Average velocity})_{0.1\ s}=\frac{h_{2.1}-h_2}{0.1}](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.1%5C%20s%7D%3D%5Cfrac%7Bh_%7B2.1%7D-h_2%7D%7B0.1%7D)
![(\text{Average velocity})_{0.1\ s}=\frac{(70(2.1)-16(2.1)^2)-(70(0.1)-16(0.1)^2)}{0.1}](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.1%5C%20s%7D%3D%5Cfrac%7B%2870%282.1%29-16%282.1%29%5E2%29-%2870%280.1%29-16%280.1%29%5E2%29%7D%7B0.1%7D)
![(\text{Average velocity})_{0.1\ s}=\frac{69.6}{0.1}](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.1%5C%20s%7D%3D%5Cfrac%7B69.6%7D%7B0.1%7D)
![(\text{Average velocity})_{0.1\ s}=696\ ft/s](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.1%5C%20s%7D%3D696%5C%20ft%2Fs)
b) The average velocity for the time period beginning when t = 2 and lasting 0.01 s.
![(\text{Average velocity})_{0.01\ s}=\frac{\text{Change in height}}{0.01}](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.01%5C%20s%7D%3D%5Cfrac%7B%5Ctext%7BChange%20in%20height%7D%7D%7B0.01%7D)
![(\text{Average velocity})_{0.01\ s}=\frac{h_{2.01}-h_2}{0.01}](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.01%5C%20s%7D%3D%5Cfrac%7Bh_%7B2.01%7D-h_2%7D%7B0.01%7D)
![(\text{Average velocity})_{0.01\ s}=\frac{(70(2.01)-16(2.01)^2)-(70(0.01)-16(0.01)^2)}{0.01}](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.01%5C%20s%7D%3D%5Cfrac%7B%2870%282.01%29-16%282.01%29%5E2%29-%2870%280.01%29-16%280.01%29%5E2%29%7D%7B0.01%7D)
![(\text{Average velocity})_{0.01\ s}=\frac{75.36}{0.01}](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.01%5C%20s%7D%3D%5Cfrac%7B75.36%7D%7B0.01%7D)
![(\text{Average velocity})_{0.01\ s}=7536\ ft/s](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.01%5C%20s%7D%3D7536%5C%20ft%2Fs)
c) The average velocity for the time period beginning when t = 2 and lasting 0.001 s.
![(\text{Average velocity})_{0.001\ s}=\frac{h_{2.001}-h_2}{0.001}](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.001%5C%20s%7D%3D%5Cfrac%7Bh_%7B2.001%7D-h_2%7D%7B0.001%7D)
![(\text{Average velocity})_{0.001\ s}=\frac{(70(2.001)-16(2.001)^2)-(70(0.001)-16(0.001)^2)}{0.001}](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.001%5C%20s%7D%3D%5Cfrac%7B%2870%282.001%29-16%282.001%29%5E2%29-%2870%280.001%29-16%280.001%29%5E2%29%7D%7B0.001%7D)
![(\text{Average velocity})_{0.001\ s}=\frac{75.936}{0.001}](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.001%5C%20s%7D%3D%5Cfrac%7B75.936%7D%7B0.001%7D)
![(\text{Average velocity})_{0.001\ s}=75936\ ft/s](https://tex.z-dn.net/?f=%28%5Ctext%7BAverage%20velocity%7D%29_%7B0.001%5C%20s%7D%3D75936%5C%20ft%2Fs)
Three-forty one over one thousand XD