a point moves with uniform acceleration and its initial speed and final speed are 1 m/s and 2 m/s respectively then the space average velocity over the distance moved is ?
Answers
Concept:
Here we will use the concept of average velocity and simultaneously we will use the equations of motion.
Average Velocity = Total Displacement(s) / Total Time (t)
Also,
First Equation of Motion:
Second Equation of Motion:
Given:
Initial Speed = 1 m/s
Final Speed= 2 m/s
Find:
To find the average velocity.
Solution:
As we know that average velocity = Total displacement (s)/Total time (t)
----------------------equation (1)
and from second equation of motion we have
s= ut+ 1/2 , putting this value in equation (1)
Now , we have
average velocity =
average velocity = u+1/2 at--------------equation (2)
and from first equation of motion
we have v=u + at
Therefore, at= v- u
Now, putting this value in equation (2)
Average velocity = u+ 1/2 (v-u)
Now putting the value of u and v i.e. u= 1m/s, v= 2m/s
Average velocity = 1+ 1/2(2-1)
= 1+1/2
=3/2 = 1.5 m/s
Hence, the average velocity is 1.5 m/s.
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