Answer:
The particle will travel 6 feet in first 2 seconds.
Step-by-step explanation:
We have been given that a particle moves according to the velocity equation 
. We are asked to find the distance that the particle will travel in its first 2 seconds.
Now, we will eliminate the absolute value sign as:
![s(t)=[\frac{6t^3}{3}-\frac{18t^2}{2}+12t]^1_0 +[\frac{-6t^3}{3}+\frac{18t^2}{2}-12t]^2_1](https://tex.z-dn.net/?f=s%28t%29%3D%5B%5Cfrac%7B6t%5E3%7D%7B3%7D-%5Cfrac%7B18t%5E2%7D%7B2%7D%2B12t%5D%5E1_0%20%2B%5B%5Cfrac%7B-6t%5E3%7D%7B3%7D%2B%5Cfrac%7B18t%5E2%7D%7B2%7D-12t%5D%5E2_1)
![s(t)=[2t^3-9t^2+12t]^1_0 +[-2t^3+9t^2-12t]^2_1](https://tex.z-dn.net/?f=s%28t%29%3D%5B2t%5E3-9t%5E2%2B12t%5D%5E1_0%20%2B%5B-2t%5E3%2B9t%5E2-12t%5D%5E2_1)
Therefore, the particle will travel 6 feet in first 2 seconds.
Answer:
B
Step-by-step explanation:
I know this because 12 dividend by 13 is closer than 9 than any other answer.
Answer:
Options (2) and (5)
Step-by-step explanation:
Given ratio is a : b and b : c
[Option 2]
b × b = a × c
b² = ac
If a = b,
b² = bc
b = c [Option 5]
Therefore, Options (2) and (5) are the correct options.
Hey!
-------------------------------------------------
Since each term is -12 smaller than the previous we can just multiply.
-12 x 5 = -60 per 5 terms.
Just add -60 in a pair of 5 terms till you get to the 50th term.
5th term: -41
10th term: -101
15th term: -161
20th term: -221
25th term: -281
30th term: -341
35th term: -401
40th term: -461
45th term: -521
50th term: -581
-------------------------------------------------
Hope This Helped! Good Luck!
Answer:
G
Step-by-step explanation:
It is the same equation but backward
