Velocity of an object
The velocity of an object can be defined as the rate of change of displacement, or it can also be defined as the change in the object’s position according to a given frame of reference with respect to time. The velocity of an object is a vector quantity, which means. Velocity has both magnitude and direction to it and this is how it differs from speed, as the speed of an object does not contain direction.
SI unit | m/sec |
symbol | v |
dimension | LT-1 |
Example 1: Tinkesh walks from his office to his home in 30 minutes and the displacement from the office to home is 2 kilometers. Find the value of the constant velocity at which Tinkesh is walking?
Solution:
It is known that the velocity of any person/object is the rate of change of its displacement.
Therefore, Velocity= displacement/Time
Given, displacement = 2km = 2000 meters
Time = 30 minutes = 1800 seconds.
Velocity = 2000/1800
Velocity= 1.11m/sec
Example 2: Two objects are moving with a speed 20m/sec and 40m/sec in order to reach the same destination which was 8000 meters away from the starting point of both the objects. Find the time taken by both objects.
Solution:
Time taken by the first object (T1)= displacement/Velocity
T1= 8000/20
T1= 400seconds
T1= 400/60= 20/3 minutes.
Time taken by the second object (T2) = 8000/40
T2= 200 seconds
T2= 200/60 minutes
T2= 10/3 minutes
Velocity – Time Graphs
Anything that contains Kinetic energy is in some type of motion, whether it is one-dimensional, two-dimensional, rotational motion, etc. Kinetic energy is responsible for motion, and it is already known that the motion of any object happens because of some external force, the inertia present in the objects do not allow them to move or stop on their own, therefore, some external force is required to provide some kinetic energy to the object, and providing energy itself states that the object has some velocity. There can be several types of velocities an object in motion can have, and explaining the characteristic of velocity w.r.t time is easier graphically.