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# Determining Speed (Velocity) - Council Rock School … - 1 2 speed and velocity

Chapter 1 Worksheet Packet Name________________

Section 1 Worksheet 1
Position and Motion
A. Describing Position
1. A(n) is a starting point you choose to describe the
location, or position, of an object.
2. A(n) is an object’s distance and direction from a
reference point.
3. A complete description of a position includes a distance,
a(n) , and a reference point.
4. A good choice for a(n) is something that is easy to find.
5. If a reference point changes, the description of an object’s
will also change.
6. Changing a reference point does not change the actual
of an object.
7. When you describe an object’s position, you compare its location to a
reference .
8. A reference direction can be described as a(n) direction.
The opposite direction is the direction.
B. Describing Position in Two Dimensions
1. When you describe position using two directions, you are using
two .
2. Examples of directions in two dimensions include
“north and east” and “right and forward.”
3. To find a position in two dimensions, first choose a reference
. Next specify reference .
Then determine the along each reference direction.
C. Describing Changes in Position
1. is the process of changing position. It is always
described relative to a(n) .
2. It is possible to move with regard to one and stay
motionless with regard to another .

3. is the length of the path an object moves along.
4. is the difference between the initial position and the
final position of an object.
5. Distance and displacement are equal only if the motion is in
one .

Worksheet 2
Speed is a measure of how fast an object is moving or traveling. Velocity is a measure of how fast an object is traveling in a certain direction. Both speed and velocity include the distance traveled compared to the amount of time taken to cover this distance.

SPEED

1. If a car travels 400m in 20 seconds, how fast is it going?

2. If you move 50 meters in 10 seconds, what is your speed?

3. You arrive in my class 45 seconds after leaving math which is 90 meters away. How fast did you travel?

TIME

1. How much time will it take for a bug to travel 5 meters across the floor if it is traveling at 1 m/s?

2. You need to get to class, 200 meters away, and you can only walk in the hallways at about 15 m/s. How much time will it take to get to your class?

DISTANCE

1. How far can you get away from your little brother with the squirt gun filled with paint if you can travel at 3 m/s and you have 15s before he sees you?

2. How far can your little brother get if he can travel at 2.5 m/s and in 5 seconds you will discover that his squirt gun has run out of paint?

MIXED SPEED
1. A plane travels 395,000 meters in 9000 seconds. What was its speed?

2. It takes Serina 0.25 hours to drive to school. Her route is 16 km long. What is Serina’s average speed on her drive to school?

3. In a competition, an athlete threw a flying disk 139 meters through the air. While in flight, the disk traveled at an average speed of 13.0 m/s. How long did the disk remain in the air?

4. If you shout into the Grand Canyon, your voice travels at the speed of sound (340 m/s) to the bottom of the canyon and back, and you hear an echo. How deep is the Grand Canyon at a spot where you can hear your echo 5.2 seconds after you shout?

Displacement - Time (d-t) Graphs Worksheet 3
This type of graph is based on the most basic things we need to know about the motion of an object (position and time).
- Time goes on the x axis
- Position / Distance goes on the y-axis
o IF the object moves away from start, we increase distance
IF the object moves toward start, we decrease distance
- Draw each section a bit at a time
o No best fit lines!

1. You ran 400m away from start in the first 90 seconds.
2. You stopped to catch your breath for a minute.
3. You ran an additional 600m in the next 90 seconds.
4. Your shoe fell off so you spent the next 60 seconds running back 200 meters.
5. You stopped to catch your breath for another minute.
6. You really need to catch up. So you start running faster and faster!
a. You run 50m in the next 30 seconds.
b. 30 seconds after that, you go 100m away.
c. You run 150m in the next 30 seconds.
d. You run 200m in the last 30 seconds—wow!

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My cat’s day
1. The cat woke up from its bed and walked 5m away to the food bowl for a minute.
2. My cat then ate food for the next 30 seconds.
3. My cat saw a shadow and ran further away from the bowl (she went 10 m in 30 seconds!)
4. My cat casually walked all the way back to her bed in 90 seconds.
5. She laid down and took a 3-minute nap.
6. After her nap, she walked 5 to the food bowl again, but faster this time (only 30 seconds).
7. She ate food for 1 minute.
8. She walked 5m back to her bed in 30s.
9. She then fell asleep.

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Combining Velocity Worksheet 4
Direction
1. Two people are pushing a broken down car. One pushes of 2 m/s east, the other a 1.5 m/s east. What direction is the will the ball move? ___________________

2. Two soccer players kick a ball simultaneously from opposite sides. Red #3 kicks to the right with a velocity of 5 m/s while Blue #5 kicks to the left with a velocity of 6.3 m/s. What direction will the ball move? _________________________

3. An airplane flies due north at 100 m/s through a 30 m/s cross wind blowing from the South. Determine the directional velocity of the airplane. ______________

Mathematical
1. A plane flies with a velocity of 52 m/s south in a 12 m/s wind blowing the plane south. Find the combined direction and velocity. ________________

2. A boat heads east up a river with a velocity of 12 m/s. If the river flows at 6.0 m/s west. Find the combined direction and velocity. ______________________

3. A boy jumps upwards at a rate of 2 m/s. He is in an elevator also going up at a rate of 5 m/s. Find the combined direction and velocity. ____________________

Understanding Distance-Time Graphs Worksheet 5
Study each graph below. Answer the set of questions that corresponds with each graph.

1. What is on the y-axis? _________________________ x-axis? _________________________

2. What are the intervals used for distance? __________ Intervals used for time? ______________

3. According to the graph, did the mailman spend more of his time in motion or being at rest? _______________________

4. According to the graph, where did the mailman spend most of his time? (moving away, moving toward, standing still) ________________________________________________

5. Does the mailman travel more distance away from the starting point or towards the starting point? _______________

6. Distance traveled away = __________________ Distance traveled towards = __________________

Distance
(m)

1. How many times does the bus stay still? ________What points represent the bus staying still? _______________

2. Is the bus moving faster at points OA or BC? ________ How do you know? ___________________ __________________________________________________________________________________

3. What is the total distance traveled by the bus? ______________________________

C

Acceleration Problems Worksheet 6
1. A car advertisement states that a certain car can accelerate from rest to 70 m/s in 7 seconds. Find the car’s average acceleration.

2. A lizard accelerates from 2 m/s to 10 m/s in 4 seconds. What is the lizard’s average acceleration?

3. A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4 m/s. But 3 seconds later, at the bottom of the slope, its speed is 22 m/s. What is its average acceleration?

4. A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is his acceleration ? Is this
acceleration higher than that of a car which accelerates from 0 to 30 m/s in 8 seconds?

5. A runner covers the last straight stretch of a race in 4 s. During that time, he speeds up from 5 m/s to 9 m/s. What is the runner’s acceleration in this part of the race?

6. You are traveling in a car that is moving at a velocity of 20 m/s. Suddenly, a car 10 meters in front of you slams on it’s brakes. At that moment, you also slam on your brakes and slow to 5 m/s. Calculate the acceleration if it took 2 seconds to slow your car down.

7. A ball is dropped from the top of a building. After 2 seconds, it’s velocity is measured to be 19.6 m/s. Calculate the acceleration for the dropped ball.

Speed, Velocity, and Acceleration Problems Worksheet 7
Equations:
Speed =

Velocity =

Acceleration =

For each problem, show the equation used, all work, and your answer with units
1. A Ford Explorer traveled 100 miles the next day for 5 hours.  What was the average speed of this vehicle?

2. A cheetah runs at a velocity of 88 ft/sec for 40 seconds.  How far west does this cheetah run?

3. How long does it take a truck traveling at a velocity of 90 km/hr. to travel 990 km.?

4. An automobile starting at rest (0 ft/sec) increases to a velocity of 91 ft/sec in 7 seconds. What was the acceleration of this vehicle?

5. An object falls from a skyscraper and hits the ground after 5 seconds.  The acceleration
of this object due to gravity was 9.8 m/s2.  What was the change in velocity of this object?

6. What is the average acceleration of a subway that speeds up from 9.6 m/s
to 12 m/s in 0.8 s on a straight section of track?

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Which graph…
1. Shows someone taking two breaks?

A - B - C
2. Spans the greatest amount of time?

A - B - C

3. Uses the greatest interval for distance?

A - B - C

4. Contains the greatest amount of time being still?

A - B - C

5. Moved the farthest from the starting point?

A - B - C

6. Shows movement toward the starting point?

A - B - C

7. Shows acceleration?

A - B - C

8. Covered the most distance?

A - B - C

A

B

How to judge motion or speed? A background used to judge motion or speed Instantaneous Speed – Speed at a given moment in time Speed – amount of distance traveled in a certain amount of time Average Speed – total distance divided by total time Time-Distance Graph – graph that shows speed of an object Acceleration – change in velocity over time Motion –