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Speed and velocity is considered one of the most asked concept.
36 Questions around this concept.
A body moving along a straight line travels one-third of the total distance with a speed of . The remaining distance is covered with a speed of for the half time and for the other half-time. The average speed during the motion is :
The distance travelled by a particle is related to time as The velocity of the particle is :
The distance travelled by an object in time t is given by. The instantaneous speed of the object at t =5 s will be :
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The position of a particle related to time is given by . The magnitude of the velocity of the particle at t = 2s will be :
I. Speed
Rate of change of distance with time.
Formula-
Tips of Speed-
S.I. unit or meters per second.
Dimensions=
Speed is a scalar quantity.
E.g: A body covers a distance of 18m in 1 sec
Using the formula of speed.
II . Average Speed and Instantaneous Speed
Average Speed-
Amount of total distance covered in total time.
Formula-
,
E.g A body covers a total distance of 50 m with variable speed in 5 sec.
Average Speed = 10 m/s
Tips for average speed-
If an object or body covers s1 distance in t1 time and s2 distance in t2 time then average speed is calculated by the
Formula-
Instantaneous Speed-
It is the speed at that particular instant or small interval of time.
Formula-
III. Velocity
Rate of change of displacement with time.
Formula-
Tips For velocity-
S.I. unit m/s
Dimensions-
Velocity is a vector quantity.
Velocity is also called speed in a definite (particular) direction.
IV. Average Velocity and Instantaneous Velocity
Average Velocity-
Amount of total displacement covered in total time.
Formula-
,
Instantaneous Velocity-
It is Velocity at that particular instant or small interval of time.
Formula-
V. Uniform motion and Non-uniform motion
Uniform motion-
If equal distance/displacement is covered in equal intervals of time, how small these intervals may be.
Uniform speed-If equal distances are covered in equal intervals of time.
Uniform velocity-If equal displacement are covered in equal intervals of time.
Uniform speed and Uniform velocity is the same as uniform motion.
For uniform motion along a straight line, the average and instantaneous velocities have the same values.
Non-uniform motion-
If equal distance/displacement is covered in unequal intervals of time.
Non-uniform speed-If equal distances are covered in unequal intervals of time.
Non-uniform velocity-If equal displacement are covered in unequal intervals of time.
Non-uniform speed and Non-uniform velocity is same as Non uniform motion
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