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3-2.Motion in Plane
medium
A ball is moving uniformly in a circular path of radius $1 m$ with a time period of $1.5 \,s$. If the ball is suddenly stopped at $t=8.3 \,s$, the magnitude of the displacement of the ball with respect to its position at $t=0 \,s$ is closest to .......... $m$
A$1$
B$33$
C$3$
D$2$
(KVPY-2019)
Solution
(d)Time period of rotation of ball $=1.5 \,s$
So, in time interval of $7.5 \,s (=1.5 \times 5) s$ ball completes $5$ revolutions.
Also, ball covers one-fourth of circular path in time $\frac{1.5}{4}=0.375 s$.
So, in remaining $0.8 \,s (=8.3-7.5 \,s )$ ball is very near to other end of diameter as shown in the figure.
Clearly, displacement of ball is nearly equals to diameter $(=2\, m )$ of circular path.
Standard 11
Physics
