Exercises M-6 Name: Finding velocity from a curve of displacement vs time for a

Question

Exercises M-6 Name: Finding velocity from a curve of displacement vs time for a body moving in a straight Line Time t in seconds A. What is the average velocity between t = 2 seconds and t = 4 seconds? B. What is the instantaneous velocity at t - 6 seconds? Draw in the tangent line required. Show the two 8 points on the tangent line used for measuring the slope. Draw in the right triangle whose hypotenuse is the part of the tangent line between these two points. Label the sides of the triangle As and At. (For good accuracy draw a fairly long tangent line and choose the two points fairly far apart on the tangent line.)

Explanation / Answer

According to the concept of the motion in one dimensional

Average velocity =total displacement /total time

From the graph we observed

Displacement at time 2 sec => x1=0.75 m

Displacement at time 4sec=>x2=3 m

So the average velocity =3-0.75/4-2

=1.125 m/s

Now we find the instantaneous velocity at 6 sec

Instantaneous velocity =slope of the tangent line

=y2-y1/t2-t1

=5.25-0/6-0

=0.875 m/s

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