Problem 60PE

Using approximate values, calculate the slope of the curve in Figure 2.62 to verify that the velocity at t = 10.0 s is 0.208 m/s. Assume all values are known to 3 significant figures.

Solution

Step 1

step 2

Velocity of an object at a particular position is the ratio of change in position with change in time.

So the slope of the given graph will give the velocity of the object.

The slope of the graph

=0.20 m/s

The slope of the graph is 0.20 m/s and the given value of velocity is 0.208 m/s.

Conclusion

The slope of position versus time graph will gives the velocity, the calculated slope is equal to the given velocity at the point t=10s hence it is verified.