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The curve on the left represents an object in simple harmonic motion. Match the

ID: 2042549 • Letter: T

Question

The curve on the left represents an object in simple harmonic motion. Match the points on the curve to the velocity and acceleration of the object.

Point A Point B Point C Point D Point E Point F Point G Point H The velocity is negative, and the acceleration is positive.
Point A Point B Point C Point D Point E Point F Point G Point H The velocity is zero, and the acceleration is negative.
Point A Point B Point C Point D Point E Point F Point G Point H The velocity is zero, and the acceleration is positive.
Point A Point B Point C Point D Point E Point F Point G Point H The velocity is positive, and the acceleration is zero.

Explanation / Answer

x=Acoswt
v=x'=-Awsinwt
a=x''=-Aw^2coswt

A-0<wt</2-so v<0 and a<0

B-wt=/2-so v<0 and a=0

C-/2<wt<-so v<0 and a>0

D-wt=-so v=0 and a>0

E-<wt<3/2-so v>0 and a>0

F-wt=3/2-so v>0 and a=0

G-3/2<wt<2-so v>0 and a<0

H-wt=2-so v=0 and a<0

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