Answer:
3
Step-by-step explanation:
IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3
<span>Acceleration of a passenger is centripetal acceleration, since the Ferris wheel is assumed at uniform speed:
a = omega^2*r
omega and r in terms of given data:
omega = 2*Pi/T
r = d/2
Thus:
a = 2*Pi^2*d/T^2
What forces cause this acceleration for the passenger, at either top or bottom?
At top (acceleration is downward):
Weight (m*g): downward
Normal force (Ntop): upward
Thus Newton's 2nd law reads:
m*g - Ntop = m*a
At top (acceleration is upward):
Weight (m*g): downward
Normal force (Nbottom): upward
Thus Newton's 2nd law reads:
Nbottom - m*g = m*a
Solve for normal forces in both cases. Normal force is apparent weight, the weight that the passenger thinks is her weight when measuring by any method in the gondola reference frame:
Ntop = m*(g - a)
Nbottom = m*(g + a)
Substitute a:
Ntop = m*(g - 2*Pi^2*d/T^2)
Nbottom = m*(g + 2*Pi^2*d/T^2)
We are interested in the ratio of weight (gondola reference frame weight to weight when on the ground):
Ntop/(m*g) = m*(g - 2*Pi^2*d/T^2)/(m*g)
Nbottom/(m*g) = m*(g + 2*Pi^2*d/T^2)/(m*g)
Simplify:
Ntop/(m*g) = 1 - 2*Pi^2*d/(g*T^2)
Nbottom/(m*g) = 1 + 2*Pi^2*d/(g*T^2)
Data:
d:=22 m; T:=12.5 sec; g:=9.8 N/kg;
Results:
Ntop/(m*g) = 71.64%...she feels "light"
Nbottom/(m*g) = 128.4%...she feels "heavy"</span>
Answer: 5.17, -0.67
Step-by-step explanation: Solve the equation for p by finding a, b, and c of the qudratic then applying the qquadratic formula
Excact Form: p = 9 + √137/4, 9 - √137/4
Decimal Form:
p = 5.17617497 . . . , -0.67617497 . . .
Hope this helps! :)
~Zane
Answer:
Vertex form
Step-by-step explanation:
You convert to vertex form a(x - b)^2 + c . The coordinates of the maxm/minm will be (b, c).
For example find minimum value of x^2 + 5x - 6:-
x^2 + 5x - 6
= (x + 2.5)^2 - 6.25 - 6
= (x + 2.5)^2 - 12.25
The coordinates of minimumm will be (-2.5, -12.25) The values of the minimum of the function is -12.25
If its a reflection across the y axis the x value is reflected and the y value stays the same, so (-3,7)
