an object moves from a to b with a speed of 20 m/s and return from b to a with a speed of 40 m/s the average velocity of the object for whole journey is
Answers
Given:
An object moves from A to B with a speed of 20 m/s and returns from B to A with a speed of 40 m/s.
To find:
The average velocity of the object for whole journey?
Calculation:
Average Velocity is defined as the ratio of total displacement and total time to cover that specific displacement.
\sf \: avg. \: v = \dfrac{total \: displacement}{total \: time}avg.v=
totaltime
totaldisplacement
Now, since the object returns back to its starting position, the displacement is zero.
\sf \implies \: avg. \: v = \dfrac{0}{total \: time}⟹avg.v=
totaltime
0
\sf \implies \: avg. \: v = 0⟹avg.v=0
So, average velocity of the object is zero.
Explanation:
Let the body goes from A to B in t
1sec and comes back from B to A in t
2sec. and let the distance between A and B be s.
∴t1
=20s
and t2
=30s
Total distance traveled =s+s=2s
Total time taken =t1
+t2
= 20s+30s
= 605s
∴ Average velocity =
t 1
+t2
2s
Putting the values, we get average speed = 24m/s