#### Kerala PSC General Science Book Study Materials Page 4

Book's First Page Its dimensional formula is also [M0L1T0]. Uniform Velocity The magnitude of displacement is less If an object undergoes equal displacements in than or equal to the magnitude of distance. equal intervals of time, then it is said to be |Displacement| ≤ |Distance| moving with a uniform velocity. Non-Uniform Velocity If an object undergoes unequal displacements in equal intervals of time, then it is said to be moving with a non-uniform or variable velocity. Speed (v) Relative velocity It is the rate of change of distance with Relative velocity of an object with respect respect to time. to another object is the time rate of change It is a scalar quantity and its unit is of relative position of one object with meter/second (m/s). respect to another object. Dimension of speed is [M0L1T-1]. Relative velocity of object A with respect Average speed is to object B s Total distance travelled V AB V A VB va t Total time taken Speed of Light = 3 x 108 m/s Acceleration (a) Speed of Sound = 343 m/s The time rate of change of velocity is The first scientist to measure speed as called acceleration. distance over time was Galileo. Its unit is m/s2 Velocity ( v ) Its dimensional formula is [M0LT-2] It is the rate of change of displacement It is a vector quantity. with respect to time. Average acceleration over a period of time It is a vector quantity and its unit is is the change in velocity v) divided by meter/second (m/s). the duration of the period t) Dimension of speed is [M0L1T-1] v v 2 v1 Average velocity is a t t s Displacement va Acceleration of an object is zero, if it is at t Total time taken rest or moving with uniform velocity. 3

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