Worksheet - Distance-Time Graphs

 

Examine this graph carefully to answer questions 1 and 2.

 

1.     How far is the truck from its starting point after:

            (a)        10 s                                         300 m              (b)       15 s                                         300 m

            (c)        30 s                                         200 m              (d)       43 s                                         650 m

            (e)        50 s                                         800 m

 

2.     What is the truckÕs velocity in each of the intervals A through E?

            A                                             30 m/s             B                                             0 m/s  

            C                                             -10 m/s                        D                                             40 m/s

            E                                              20 m/s

 

3.     Beside the graph, describe briefly the kind of motion that is taking place in each of the situations represented by the following displacement vs. time graphs.

 

                               

            a) object travels fast then changes to slower speed         

            b) object travels fast then stops      

            c) object travels slowly then changes to higher speed, stops then speeds off quickly

 

4.     Beside the graph, describe briefly the motions represented by each of these graphs. If the speed is changing, state whether it is increasing or decreasing.

 

                                 

a) object travels faster and faster (accelerating) 

b) object travels fast then slows down (decelerating)      

c) object travels slowly then changes to higher speed (accelerates), then slows down (decelerates)

 

5.     Beside the graph, describe the motion represented by each of the following displacement vs. time graphs.

 

                                

 

a) object travels faster, stops then travel fast back to starting point

b) object travels fast then immediately travels back part way, then forward and back several times        

c) object travels slowly then changes to higher speed (accelerates), then slows down (decelerates) to a stop and reverses direction coming back to the starting point

Use the following graph for question 6.

 

 

6.     a)  From the graph above, calculate the average speed for the entire 22 s.

v=d/t  or v = d Ö t

v = 25 Ö 22

v = 1.14 m/s

 

b)  Find the average speed for each of the following time intervals:

(i)             0 s to 2 s

v = d Ö t

v = 5 Ö 2

v = 2.5 m/s

(ii)           4 s to 8 s

v = d Ö t

v = 0 Ö 4

v = 0 m/s

(iii)          14 s to 18 s

v = d Ö t

v = (19-13) Ö 4

v = 1.5 m/s

(iv)          6 s to 17 s

v = d Ö t

v = (15-5) Ö 11

v = 0.91 m/s