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 the following shows the direction of the acceleration of the riders?



a
b
c
d

A ride at an amusement park moves the riders in a circle at a rate of 60 ms The radius of the ride is 90 meters Which of the following shows the direction of th class=

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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.

[tex]a=\frac{dv}{dt}=6 m/s[/tex]

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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