A child sits on a merry-go-round turning with uniform circular motion in a counterclockwise direction. At time t1 = 2 s, the child's velocity is = (2i +4j)(m/ s). The child sits 2.5 m from the center 4. %3D of rotation. a. At t1, what is the centripetal acceleration of the child? b. If the child maintained her speed at t1, what would be the period of her motion? c. However, the child changes her speed. At t2 = 5 s, the child's velocity is i=(-3î – 4j) (m/ s). What is %3D the magnitude of the average acceleration between t, and t2? d. Draw a circle showing where the child is located at t1 and t2.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A child sits on a merry-go-round turning with uniform circular motion in a counterclockwise
direction. At time t1 = 2 s, the child's velocity is = (2i +4j)(m/ s). The child sits 2.5 m from the center
4.
%3D
of rotation.
a. At t1, what is the centripetal acceleration of the child?
b. If the child maintained her speed at t1, what would be the period of her motion?
c. However, the child changes her speed. At t2 = 5 s, the child's velocity is i=(-3î – 4j) (m/ s). What is
%3D
the magnitude of the average acceleration between t, and t2?
d. Draw a circle showing where the child is located at t1 and t2.
Transcribed Image Text:A child sits on a merry-go-round turning with uniform circular motion in a counterclockwise direction. At time t1 = 2 s, the child's velocity is = (2i +4j)(m/ s). The child sits 2.5 m from the center 4. %3D of rotation. a. At t1, what is the centripetal acceleration of the child? b. If the child maintained her speed at t1, what would be the period of her motion? c. However, the child changes her speed. At t2 = 5 s, the child's velocity is i=(-3î – 4j) (m/ s). What is %3D the magnitude of the average acceleration between t, and t2? d. Draw a circle showing where the child is located at t1 and t2.
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