Question

the graph represent the relationship between the work done by a 40.8kg students running up a flight of 10 steps and time . each step is 0.50m high.calculate the valie of the slope at point z of the graph above and identify what this value represent .

Answer 1

Since the graph is a straight line so the slope will remain same at all points

So here slope is given as

`slope = (dy)/(dx) = (1000 - 0)/(4 - 0)`

`slope = 250`

Now here we can say that slope will represent the rate of change in the physical quantity on Y axis with respect to the quantity on X axis

So here we will have

`Slope = (dW)/(dt)`

so it is rate of work done

So slope of this graph will same as power of the object