Starting from the front door of a ranch house, you walk 60.0 m due east to a windmill, turn around, and then slowly walk 40.0 m west to a bench, where you sit and watch the sunrise. it takes you 28.0 s to walk from the house to the windmill and then 36.0 s to walk from the windmill to the bench. for the entire trip from the front door to the bench, what are your (a) average velocity and (b) average speed?

The average velocity will be equal to 0.3125 m/s while the average speed will be equal to 1.5625 m/s.

We know that the average velocity is defined as the ratio of displacement to total time taken to reach that position. therefore,

Given to us

The displacement between the front door of a ranch house and the bench is 20m,

Time taken to cover that distance = 36 + 28 = 64 sec

Average speed is defined as the ratio of total distance covered to total time taken for the entire journey.

Given to us

Total distance = 60 + 40 = 100 m

Total time = 36s +28s = 64 sec

Hence, the average speed of the man is 1.5625 m/s.

Learn more about Velocity:

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Part a)

Part b)

Explanation:

Part a)

As we know that average velocity is defined as the ratio of displacement and time interval

so here we have

so here she start from her house and move towards east at 60 m distance  then she turn back and moves towards west by 40 m distance

Now we know that time taken by it to move 60 meter distance is 28 s and then time taken to move next 40 m distance is 36 s

so here displacement is given as

now total time taken be it is given as

now average velocity is given as

Part b)

now we know that total distance of whole motion is given as

total time = 64 s

now average speed is given as

amplitude

hope this