A) if \[a=-3\text{ }m{{s}^{-2}}\]then the motion must be retarded motion.
B) If a particle is project vertically up they towards positive y-axis than acceleration will be negative at the time of ascent and positive at the time of its decent.
C) When velocity is zero acceleration must be zero.
D) motion is said to be retarded motion when acceleration and velocity have apposite sign.
Correct Answer: D
Solution :
Motion will be retarded when a and v have opposite sign: s, a and v are vectors, we choose a direction as positive then opposite to it will be negative \[\vec{s},\,\vec{a},\,\vec{v}\] independently positive or negative depending on its direction. When we project a particle vertically up its velocity is zero at maximum height but acceleration is g.
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