A ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s. The radius of the ride is 9.0 meters. Which of th
e following shows the direction of the acceleration of the riders?
a
b
c
d
a
b
c
d
1 answer:
Answer with explanation:
It is given that , ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s.
Radius of Circle = 9.0 meters
Acceleration is rate of change of velocity,which will be perpendicular to radius vector.
Also, in terms of mathematics, line from center that is radius , to point of contact that is tangent line ,which is on the circle are perpendicular to each another.
→r(radius vector) ⊥ a(Acceleration vector).
So, In option A, Radius vector is Perpendicular to acceleration of riders.
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Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
To find D and E use the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( ,
)
Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then
D = (,
) = (3, 2 ) and
let (x₁, y₁ ) = B(2, - 2 ) and (x₂, y₂ ) = C(- 2, - 4 ), then
E = ( ,
) = (1, 1 )
Use the slope formula to find slopes of DE and BC
m =
with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then
=
=
=
Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then
=
=
=
Since the slopes are equal then DE and BC are parallel lines