NAME____________                                                                    DATE___

PERIOD____                                                                                   MOTION I

Ideas: Speed is a rate, a ratio of change in position

            Speed = Change in Distance divided by Change in Time

            S=D/T is the same as Speed is time into distance.

            Average Speed is Total Change in Distance divided by Change in Time

            Velocity is Speed with a direction (+ is one way, - the other way)

            Acceleration is Change in Velocity divided by Change in Time.

On a distance time graph, slope is velocity. On a speed time graph, slope is acceleration.

 

1. Use the data in this table to draw three distance time graphs on a piece of graph paper. Mark time units along the bottom and mark distance units along the side of the paper. Use a different color pen or kind of line for each car.

 

TIME               TOTAL DISTANCE (Meters)

(seconds)                  CAR A                        CAR B                        CAR C

0                                  0                                  0                                  0

1                                  4                                  1                                  2

2                                  8                                  3                                  4

3                                  12                               8                                  6

4                                  16                               10                               8

5                                  20                               16                               10

6                                  24                               22                               12

7                                  28                               24                               14

8                                  32                               26                               16

 

Now, answer these questions:

2. Which line has the steepest slope? What does this tell you about the speed of the car?

 

 

3. Which car did not travel at a constant speed? How do you know? How does a line showing constant speed compare with a line showing changing speed?

 

 

4. What is the average speed of each car?

 

 

 

5. What would the average speed of a car be that had a straight, level, horizontal ( no slope) line on a graph?

 

 

6. Explain why it would be impossible to see a distance-time graph with a straight up and down line (vertical slope):

 

 

 

7. A car goes 30 kilometers in the first 30 minutes of a trip and then 50 more kilometers in the next 30 minutes. Find the car's average speed for the trip.

 

 

 

8. A Car starts out on a trip down a long straight road. As it travels, it can move at a steady speed, speed up, slow down, or even stop. The distance time-graph for the car's trip is shown. Using the graph, describe the changes in motion that occurred during the car's trip.

 


                                                                                                D

 

 

 

 


                                                                                                                        T

9. Shown in this picture are distance-time lines for two ships during part of their voyage. Which ship has the greater speed at time = 2 hours? How can you tell?

 


                                                                        DISTANCE

 

 

 

 

 


                                                                                    TIME 0 1 2 3 4 5

 

9.5 Over the time up to time = 5 hours, how do the average speeds of the two ships compare?

 

 

10. LOOK AT THE GRAPH. THEN ANSWER THE QUESTIONS:

 


DISTANCE

(km)

6

 

 

0

                     

12pm 1pm        2 pm 3pm 4 pm 5pm

10.1 In the first hour of the hike, what is the hikers speed?

            a) 1 km/hr      b) 2 km/hr      c) 3 km/hr      d) 10 km/hr

 

 

10.2 What is the hiker's average speed during the first two hours of the hike?

            a) 2 km/hr      b) 2.5 km/hr   c) 4 km/hr                  d) 5.5 km/hr

 

10.3 What is the hiker's speed for the entire hike?

            a) 1 km/hr      b) 2 km/hr      c) 5 km/hr      d) 10 km/hr

 

11 Match the correct distance-time graph with the car it represents

            ____A car that goes slow, then speeds up.

            ____A car that is stuck in a ditch

            ____A car that goes at a constant speed

            ____A car that goes fast, then slows down

            ____A car that goes backwards.

            ____A car that steadily increases speed.

 

 

 

 

 

 


                        Time                                       Time                           Time

 

 

 

 

 

 

 


                        Time                                       Time                                       Time

 

12 Draw a rough idea of what a distance-time graph would look like for an object that: starts off away from the starting line, goes steadily backwards for awhile, then stays perfectly still, then goes slowly steadily forward, then goes quickly steadily forward, then accelerates forward, then travels backwards to the starting line:

 

 


D

I

S

T

A

N

C

E

 

 

                                                      TIME

Match each description with the correct graph and table:

 

1) A car stationary at point P                                                                 GRAPH                   _______               TABLE________

 

2) A car stationary at a distance away from point P                   GRAPH                   _______               TABLE________

 

3) A car moving away from point P at constant speed           GRAPH                   _______               TABLE________

 

4) A car slowing down and moving away from P                        GRAPH                   _______               TABLE________

 

5) A car increasing speed and moving away from P                GRAPH                   _______               TABLE________

 

6) A car moving towards P at a constant speed                         GRAPH                   _______               TABLE________

 

7) A car slowing down as it approaches P                                     GRAPH                   _______               TABLE________

 

 

 
8) A vehicle increasing in speed as it approaches P              GRAPH                   _______               TABLE________             


D

T

600

10

555

11

520

12

495

13

480

14

D

T

600

10

570

11

540

12

510

13

480

14

D

T

100

10

100

11

100

12

100

13

100

14

D

T

600

10

585

11

560

12

525

13

480

14

                                                                                                                                                                                                                                                                                                                                                                                                           

                 

 

 

 

 

 

1.                                                  2.                                                  3.                                4              


D

T

600

10

645

11

680

12

705

13

720

14

D

T

600

10

630

11

660

12

690

13

720

14

D

T

0

10

0

11

0

12

0

13

0

14

D

T

600

10

615

11

640

12

675

13

720

14

 

 

 

 

 

 

 

 

 

 

5.                                                  6.                                                  7.                                8.

Text Box: Distance across the y, time across the x



Text Box: aText Box:  Text Box: bText Box: cText Box: dText Box: eText Box: fText Box: hText Box: g