Answer:
Step-by-step explanation:
o,o is in the origin
Answer:
Vertical angle=9.5°
Time to reach maximum height = 1.24seconds
Step-by-step explanation:
The maximum distance x is reached when rope swings to a maximum height, maximum height is gotten from the equation KE= 1/2MU^2 = MgH = MgL= Mgl(1- cos theta.
Where theta is the vertical angle, U=2m/s and L= 15m
2gl -2glcostheta=U^2
2gl U^2=2gl cos theta
But theta= Acos(1- U^2)/2gl
Acos(1-/(2×9.8×15)
Theta =9.5°
Maximum height li given by
Lsintheta
But X= UxT
T=X/UX= Lsintheta/U = 15sin9.5 /2 =1.24seconds
Answer:
number of $20 bill = 4
Number of $5 bill = 5
Step-by-step explanation:
Given that:
Total number of $5 and $20 bills = 9
Let :
Number of $5 bills = x
Number of $20 bills = y
Combined worth of all bills = $105
x + y = 9 - - - (1)
5x + 20y = 105 - - - (2)
From (1)
x = 9 - y
Substitute x = 9 - y into (2)
5(9 - y) + 20y = 105
45 - 5y + 20y = 105
15y = 105 - 45
15y = 60
y = 60/15
y = 4
x = 9 - y
x = 9 - 4 = 5
Hence,
number of $20 bill = 4
Number of $5 bill = 5
Answer:
(40,0)
Step-by-step explanation:
A rotation of 270 degrees° counterclockwise about the origin has the rule
A ferris wheel is drawn on a coordinate plane so that the first car is located at the point (0,40).
According to the given rule, the image point after a rotation of 270 degrees° counterclockwise about the origin have the coordinates (40,0) (see attached diagram for details).
Answer:
, for all 
Step-by-step explanation:
The velocity vector is found by deriving the position vector depending on the time:
In turn, acceleration vector is found by deriving the velocity vector depending on time:
Velocity and acceleration vectors at 
are:
Norms of both vectors are, respectively:
The angle between both vectors is determined by using the following characteristic of a Dot Product:
Given that cosine has a periodicity of 
. There is a family of solutions with the form:
, for all
