Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
Answer:
2 , 1\2
Step-by-step explanation:
b² - 4ac = (-5)² - 4*2*2
= 25 - 16
= 9

![x= \dfrac{-[-5] + 3}{2*2} ; x = \dfrac{-[-5]-3}{2*2}\\\\x =\dfrac{5+3}{4} ; x = \dfrac{5-3}{4}\\\\x=\dfrac{8}{4} ;x = \dfrac{2}{4}\\x = 2 ; x = \dfrac{1}{2}](https://tex.z-dn.net/?f=x%3D%20%5Cdfrac%7B-%5B-5%5D%20%2B%203%7D%7B2%2A2%7D%20%3B%20%20x%20%3D%20%5Cdfrac%7B-%5B-5%5D-3%7D%7B2%2A2%7D%5C%5C%5C%5Cx%20%3D%5Cdfrac%7B5%2B3%7D%7B4%7D%20%3B%20x%20%3D%20%5Cdfrac%7B5-3%7D%7B4%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B8%7D%7B4%7D%20%20%3Bx%20%3D%20%5Cdfrac%7B2%7D%7B4%7D%5C%5Cx%20%3D%202%20%3B%20x%20%3D%20%5Cdfrac%7B1%7D%7B2%7D)
Paralell to 2x+y=-5
means it has same slope
means it is in form
2x+y=c where we have to find c
convert to slope intercept
minus 2x both sides
xint of 2
xint is where th eline crosses the x axis or where y=0, x=2
2(2)+0=c
2(2)=c
4=c
the equation is 2x+y=4
Answer:
Jogging 6th time.
Step-by-step explanation:
We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.
We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.
We know that an arithmetic sequence is in form
, where,
= nth term of sequence,
= 1st term of sequence,
n = Number of terms in sequence,
d = Common difference.
Let us find common difference of our given sequence as:

Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.

Let us solve for n.





We can also write next terms of our sequence as:

Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.