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State which of the following situations are possible and give an example of each of these
$(a)$ A body moving with constant acceleration but with zero velocity.
$(b)$ A body moving horizontally with an acceleration in vertical direction.
$(c)$ A body moving with a constant velocity in an accelerated motion.
Solution
$(a)$ Yes, at the highest point of a body thrown vertically upwards. At the highest point, the body's velocity is zero but it has an acreleration of $9.8 m s ^{-2}$ in the downward direction.
$(b)$ Yes, a projectile fired at an angle has a uniform velocity along the horizontal, but its motion along the vertical is uniformly accelerated.
$(c)$ Yes, when a body moves along a circular path with constant speed. In this situation, the speed is constant but due to change in direction the body possesses acceleration.