mohan travels at 20m/s from home to market and returns at 25m/s find his average velocity for the entire journey
20 + 25 divided by 2 to find the average.
please draw v-t graph for it.
mohan
Vdv
To find the average velocity for the entire journey, we need to calculate the total displacement and total time taken.
Let's first find the total displacement.
Mohan travels from home to the market and then returns, so his total displacement will be zero because he ends up at the same point.
Therefore, the total displacement is 0 m.
Now, let's find the total time taken.
Mohan travels at 20 m/s from home to the market, and the distance from home to the market is the same as the distance from the market to home. So, let's consider the distance as "d."
The time taken to travel from home to market is given by:
Time taken = Distance / Speed
Time taken = d / 20 m/s
Similarly, the time taken to travel from the market to home is given by:
Time taken = Distance / Speed
Time taken = d / 25 m/s
The total time taken for the entire journey is the sum of the time taken to travel from home to market and from market to home:
Total time taken = (d / 20 m/s) + (d / 25 m/s)
Now, we can calculate the average velocity:
Average velocity = Total Displacement / Total Time Taken
Average velocity = 0 / (Total Time Taken)
Substituting the value of Total Time Taken,
Average velocity = 0 / ((d / 20 m/s) + (d / 25 m/s))
Simplifying this equation gives us the average velocity for the entire journey.