Distance is a scalar quantity. Displacement is a vector quantity. The magnitude of displacement is always less than or equal to distance. For a moving body
displacement can be zero but distance cannot be zero. Same concept is applicable regarding velocity and speed. Acceleration is the rate of change of velocity. If acceleration is constant, then quantities of kinematics are applicable. For one dimensional motion under the gravity in which air resistance is considered, the value of acceleration depends on the density of medium. Each motion is measured with respect to the frame of reference. Relative velocity may be greater/smaller to the individual velocities.
(i) A particle moves from A to B. The ratio of distance to |displacement| is

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Ans.
(i)
Sol. 
(ii)
Sol.





=
= 
(iii)
Sol. y 1 = 4, y 2 = 16, x 1 = 1, x 2 = 2
|Displacement| = 
= 
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