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

$slope = \frac{dy}{dx} = \frac{1000 - 0}{4 - 0}$

$slope = 250$

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

$Slope = \frac{dW}{dt}$

so it is rate of work done

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