Answer:
1) we know
![F=ma\\a=F/m\\a=20/4=3m/s^2](https://tex.z-dn.net/?f=F%3Dma%5C%5Ca%3DF%2Fm%5C%5Ca%3D20%2F4%3D3m%2Fs%5E2)
since the force is acting upward and the acceleration is in positive z-direction
![a(t)=5k](https://tex.z-dn.net/?f=a%28t%29%3D5k)
we integrate it to get the velocity
![v(t)=5tk+C](https://tex.z-dn.net/?f=v%28t%29%3D5tk%2BC)
where C is integration constant
![Given\\v(0)=i-j](https://tex.z-dn.net/?f=Given%5C%5Cv%280%29%3Di-j)
using this to find C
![v(0)=5(0)k+C\\i-j=0+C\\C=i-j](https://tex.z-dn.net/?f=v%280%29%3D5%280%29k%2BC%5C%5Ci-j%3D0%2BC%5C%5CC%3Di-j)
substitute back the value of C we get:
![v(t)=i-j+5tk](https://tex.z-dn.net/?f=v%28t%29%3Di-j%2B5tk)
integrate to get the position
![r(t)=ti-tj+\frac{5t^2}{2} k+C](https://tex.z-dn.net/?f=r%28t%29%3Dti-tj%2B%5Cfrac%7B5t%5E2%7D%7B2%7D%20k%2BC)
where C is zero because it starts from origin
speed is magnitude of velocity
![v(t)=i-j+5tk\\therefore\\\\v(t)=\sqrt{1^2+(-1)^2+(5t)^2} =\sqrt{2+25t^2}](https://tex.z-dn.net/?f=v%28t%29%3Di-j%2B5tk%5C%5Ctherefore%5C%5C%5C%5Cv%28t%29%3D%5Csqrt%7B1%5E2%2B%28-1%29%5E2%2B%285t%29%5E2%7D%20%3D%5Csqrt%7B2%2B25t%5E2%7D)
Answer:
$2,369,136.10
Step-by-step explanation:
she earned $2,369,136.10 in interest after 130 days
278 is rounded to 280 (to the tenth). Anything that is above 5 you right. In case this is 8 so you round. If it is below 5 then you do not round.
Answer:I think you are correct
Step-by-step explanation:
We know she got one 100
But we don't know how many 85's she got
So we put x with 85 so (85x) plus the only 100 she got
Leading us too 440
Lmk if u have any questions
Answer:
30 Bags
Step-by-step explanation:
If Tori were to separate her 6 pound bags of sugar into bags of 1/5 pounds, she'd have 5 bags per pound of sugar. multiply 5 by 6 and you get 30.