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Kinematics and motion in two dimensions

Kinematics and motion in two dimensions

Assessment

Presentation

•

Science

•

7th Grade

•

Medium

•
displacement, solving for acceleration

Standards-aligned

Created by

Judy Hutton

Used 2+ times

FREE Resource

24 Slides • 72 Questions

1

​Vectors- motion in two directions

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​Motion in two dimensions consists of horizontal and vertical components.

Understand the independence of horizontal and vertical vectors in two-dimensional motion.

​Motion in a plane is also referred to as a motion in two dimensions. For example – Circular Motion, Projectile Motion, etc. For the analysis of such type of motion (i.e. Projectile Motion), the reference point will be made of an origin and the two coordinate axes X and Y. One of the most common examples of motion in a plane is Projectile motion.

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​These are the equations used to solve kinematic problems. Copy them to your equation card.

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19

Multiple Choice

Question image

If a ball is thrown up and lands at the same location, what was its acceleration?

1

-10 m/s2 on the way up and +10 m/s2 on the way down.

2

-10 m/s2 the entire time.

3

+10 m/s2 on the way up and -10 m/s2 on the way down.

20

Multiple Choice

Free fall is

1

moving through the air under the influence of the force of gravity only.

2

not paying for a fall.

3

clothing sale with lots of orange & brown clothes.

4

a feather dropped from an airplane.

21

Multiple Choice

Question image

A textbook is dropped from a second floor window and falls to the ground. What happens to the acceleration as the book falls to the ground

1

the acceleration increases

2

the acceleration decreases

3

the acceleration remains constant

22

Multiple Choice

The state that exists when the only force acting on an object is gravity is called

1

free fall

2

inertia

3

acceleration

4

momentum

23

Multiple Choice

Heavier objects free fall faster than lighter objects.(in the absence of the air resistance)

1

True

2

False

24

Multiple Choice

Do free falling objects move at constant velocity or do they accelerate?
1
Falling objects accelerate at -9.8 m/s2
2
Falling object move at constant velocity
3
Falling objects accelerate at 100 m/s2
4
It depends on the mass: heavy objects accelerate, light objects do not

25

Multiple Choice

Which would hit the ground first if dropped from the same height in a vacuum—a feather or a metal bolt?
1
the feather
2
the metal bolt
3
They would hit the ground at the same time.
4
They would be suspended in a vacuum.

26

Multiple Choice

When there is no air resistance, objects of different masses dropped from rest
1
fall with equal accelerations and with equal displacements.
2
fall with different accelerations and with different displacements.
3
fall with equal accelerations and with different displacements.
4
fall with different accelerations and with equal displacements.

27

Multiple Choice

Which would fall with greater acceleration in a vacuum—a leaf or a stone?
1
the leaf
2
the stone
3
They would accelerate at the same rate.
4
It is difficult to determine without more information.

28

Multiple Choice

In a normal environment, why does a bowling ball and feather hit the ground at different times when dropped from the same height?
1
They don't; they hit the ground at the same time.
2
One is more dense than the other.
3
One is heavier than the other.
4
Air resistance 

29

Multiple Choice

What is the velocity of a ball that has been dropped off a cliff after 1 , 2, 3, 4, and 5 seconds? (assume g is rounded to 10 m/s2)?. 
1
10, 20, 30, 40, 50 m/s
2
5, 10, 15, 20, 25 m/s
3
5, 20, 45, 80,125 m
4
10,10,10,10,10 m/s

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Multiple Choice

Question image
If you throw a baseball straight up, what is its velocity at the highest point?
1
9.8 m/s2
2
9.8 m/s
3
0 m/s2
4
0 m/s

33

Multiple Choice

Question image

At what point is vy= 0 m/s?

1

A

2

B

3

C

4

D

5

None of these points

34

Multiple Choice

Question image
If you throw a baseball straight up, what is its acceleration at the highest point?
1
-9.8 m/s2
2
-9.8 m/s
3
0 m/s2
4
0 m/s

35

Multiple Choice

Question image
The more mass an object has, the faster it will fall.
1
True
2
False

36

Multiple Choice

Question image
If I throw a crayon straight up at 12m/s, how fast is its speed when i catch it at the same height?
1
-6 m/s
2
-12 m/s
3
-18 m/s
4
-24 m/s

37

Multiple Choice

Question image
What is the horizontal acceleration of a projectile?
1
0 m/s2
2
-9.8 m/s2

38

Multiple Choice

Velocity is different from speed in that velocity is speed in a given direction.
1
True
2
False

39

Multiple Choice

Question image
What is the displacement from 2 to 10 seconds?
1
64 km
2
100 m
3
64m 
4
32 m 

40

Multiple Choice

Question image
What are the components of this vector?
1
South and East
2
South and West
3
North and East
4
North and West

41

Multiple Choice

Question image
What is the resultant of these two vectors?
1
+2a
2
0
3
-2a
4
+a

42

Multiple Choice

Consider drops of water leaking from a water faucet. As the drops fall they 
1
remain at a relatively fixed distance from each other
2
get farther apart
3
get closer together

43

Multiple Choice

The path followed by a projectile is also known as its

1

trajectory

2

range

3

height

4

vertical displacement

44

Multiple Choice

What is the direction of the acceleration for any projectile?

1

The direction the projectile is traveling.

2

Down

3

Up

4

Sideways

45

Multiple Choice

Question image

What is the acceleration of a projectile?

1
0 m/s2
2
9.8 m/s2

46

Multiple Choice

Question image

At what point can we measure the maximum height?

1

A

2

B

3

C

4

D

5

None of these points

47

Multiple Choice

Question image

At which point can we measure the maximum range of the projectile? (it's landing point)

1

A

2

C

3

D

4

E

48

Multiple Choice

Question image

At which point is the velocity of the object the same as the initial velocity at A?

1

A

2

C

3

D

4

E

49

Multiple Choice

Question image

At which point could you measure half the time the projectile is in the air?

1

A

2

C

3

D

4

E

50

Multiple Choice

Question image

At which point is our object slowing down?

1

B

2

D

3

E

4

All points

51

Multiple Choice

At which of the following places does a projectile have the greatest acceleration?

1

At the peak of its trajectory

2

Half way to the peak

3

At the instant it is launched

4

All points have the same acceleration

52

Multiple Choice

A boat travels 12.0 m while it reduces its velocity from 9.5 m/s to 5.5 m/s. What is the magnitude of the boat’s acceleration while it travels the 12.0 m?
1
1.3 m/s2
2
2.5 m/s2
3
3.0 m/s2
4
7.5 m/s2

53

Multiple Choice

Kinematic equation can only be used when you have a constant ....

1

Position

2

Velocity

3

Acceleration

4

Time

54

Multiple Choice

The unit we use to measure acceleration is ___.

1

m/s

2

m

3

s

4

m/s2

55

Multiple Choice

A ball is dropped from a building. How fast is it traveling after falling for 1.77 s? (Hint: It's a free falling object)

1

14.76 m/s

2

17.35 m/s

3

18.91 m/s

4

20.03 m/s

56

Multiple Choice

A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car. Choose the appropriate equation.

1

v=vo+at

2

d=vot+1/2at2

3

v2=vo2+2ad

4

d=1/2(v+vo)t

57

Multiple Choice

Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of 444 m/s in 1.83 seconds, then what is the distance that the sled travels?

Choose the appropriate equation.

1

v=vo+at

2

d=vot+1/2at2

3

v2=vo2+2ad

4

d=1/2(v+vo)t

58

Multiple Choice

If Michael Jordan has a vertical leap of 1.29 m, then what is his takeoff speed if his acceleration is -9.8 m/s2 and his velocity at the top of his leap i 0 m/s?

1

v=vo+at

2

d=vot+1/2at2

3

v2=vo2+2ad

4

d=1/2(v+vo)t

59

Multiple Choice

An engineer is designing the runway for an airport. Of the planes that will use the airport, the lowest acceleration rate is likely to be 3 m/s2. The takeoff speed for this plane will be 65 m/s. All airplanes will start from rest. Assuming this minimum acceleration, what is the minimum allowed length for the runway?

1

v=vo+at

2

d=vot+1/2at2

3

v2=vo2+2ad

4

d=1/2(v+vo)t

60

Multiple Choice

The unit we use to measure speed is ___.

1

m/s

2

m

3

s

4

m/s2

61

Multiple Choice

The unit we use to measure distance is ___.

1

m/s

2

m

3

s

4

m/s2

62

Multiple Choice

The unit we use to measure time is ___.

1

m/s

2

m

3

s

4

m/s2

63

Multiple Choice

Which of the following symbols represent speed when time is zero?

1

v

2

v0

3

a

4

x

64

Multiple Choice

Which of the following symbols represent speed at any time?

1

v

2

v0

3

a

4

x

65

Multiple Choice

What does g represent as in physics

1

greg

2

gravity

3

gas

4

Grover

66

Multiple Choice

What is the symbol for distance?

1

m

2

M

3

d

4

D

67

Multiple Choice

What is the symbol for position?

1

p

2

Ƥ

3

x

4

y

68

Multiple Choice

What is the symbol for height?

1

hT

2

Y

3

Ht

4

y

69

Multiple Choice

What is the Symbol for force?

1

F

2

ḟ

3

N

4

Fx

70

Multiple Choice

What is the Formula for Speed?

1

v = d/t

2

s = t/d

3

Speed = Vi - Vf

4

100mph

71

Multiple Choice

The symbol Δ, stands for a ______________

1

pyramid

2

total

3

change in

4

position

72

Multiple Choice

a = Δv / Δt


This is the formula to solve what?

1

amplitude

2

angular momentum

3

Acceleration

4

Delta change

73

Multiple Choice

What is the force of Gravity?

1

Down

2

1g

3

9.8 m/s2

4

8.9 m/s2

74

Explanation Slide...

Force = mass x acceleration

75

Multiple Choice

What is the formula to find Force

1

F= d/t

2

m/a = F

3

F = mA

4

F= ma

76

Explanation Slide...

You can run 5 miles and have a displacement of 0. Displacement is how far you displace from where you started.

media

77

Multiple Choice

A change in position of an object is called ____________.

1

distance

2

displacement

3

magnitude

4

separation

78

Explanation Slide...

acceleration units are always m/s2 or m/s/s

79

Multiple Choice

If a 73.2kg object is receiving a net force of 933N to the West, then what will be its acceleration?

1

12.74a2

2

12.74 m/s

3

12.74 m/s2

4

12.74

80

Explanation Slide...

F = mass x acceleration is the same asF = mass x (∆v /∆t)Because acceleration = (∆v /∆t)

81

Multiple Choice

What things are needed to find force (F)?

1

mass and velocity

2

mass and final velocity

3

momentum and acceleration

4

mass, ∆v and ∆t

82

Multiple Choice

Question image

This is the formula for ______________________________.

1

amplitude

2

Velocity

3

Acceleration

4

V0

83

Multiple Choice

Question image

This is the formula for____

1

going fast

2

speed

3

displacement

4

Velocity

84

Multiple Choice

What does Vf represent?

1

vector function

2

velocity forward

3

final velocity

4

initial velocity

85

Multiple Choice

How long would it take a car, starting from rest and accelerating uniformly in a straight line at 5 m/s2, to cover a distance of 200 m?

1

9.0s

2

10.5s

3

12.0s

4

15.5s

86

Multiple Choice

Sam jumped from a plane. His acceleration was 10m/s2. He hit the ground in 8 seconds. What was his velocity just before he hit the ground?

1

300 m/s

2

30 m/s

3

320 m/s

4

80 m/s

87

Multiple Choice

The speed of an object undergoing constant acceleration increases from 8.0 m/s to 16.0 m/s in 4 s. What is the acceleration of the object?

1

8 m/s2

2

4 m/s2

3

2 m/s2

4

1 m/s2

88

Multiple Choice

A car accelerates uniformly from rest at 10 m/s2. How long does it take the car to travel a distance of 125 meters?

1

2 seconds

2

3 seconds

3

4 seconds

4

5 seconds

89

Multiple Choice

A toy car is given an initial velocity of 4 m/s and experiences a constant acceleration of 6 m/s2. What is the final velocity after 5 seconds?

1

24 m/s

2

10 m/s

3

34 m/s

4

6 m/s

90

Multiple Choice

A car starts from rest and after 7 seconds it is moving at 42 m/s. What is the car’s acceleration?

1

0.17 m/s2

2

1.67 m/s2

3

6 m/s2

4

7 m/s2

91

Multiple Choice

What's the missing part in the given kinematic equation?

x = xi + vi ×t + 12(a)(−)x\ =\ x_i\ +\ v_i\ \times t\ +\ \frac{1}{2}\left(a\right)\left(-\right)  

1

tt  

2

  t2t^2  

3

vfv_f  

4

Δv

92

Multiple Choice

What is the rate of acceleration of a mountain bike if it slows down from 9.4 m/s to 3.0 m/s in a time of 3.75 s?

a = vf – vi / t

1

-0.61 m/s2

2

-1.71 m/s2

3

-1.19 m/s2

4

-2.07 m/s2

93

Multiple Choice

A policeman traveling 19.5 m/s spots a speeder ahead, so he accelerates his vehicle at a steady rate of 1.81 m/s2 for 3.2 s, at which time he catches up with the speeder. What distance does the police car cover in that time?

d = vit + ½ at2

1

35.98 m

2

56.32 m

3

71.67 m

4

91.02 m

94

Multiple Choice

A car parked on a hill starts to coast down the hill, accelerating from rest at a constant rate of 0.45 m/s2. How fast will the car be moving after 7.0 s?

vf = vi + at

1

3.15 m/s

2

5.07 m/s

3

6.97.15 m/s

4

7.81 m/s

95

Multiple Choice

An airplane accelerates down a runway from rest at 3.98 m/s2 for 25.9 s until it lifts off the ground. Determine the distance traveled before takeoff.

d = vit + ½ at2

1

934.0 m

2

1004.7 m

3

1184 m

4

1334.9 m

96

Multiple Choice

A ball is dropped from a building. How fast is it traveling after falling for 1.77 s?

vf = vi + at

1

14.76 m/s

2

17.35 m/s

3

18.91 m/s

4

20.03 m/s

​Vectors- motion in two directions

media

​Motion in two dimensions consists of horizontal and vertical components.

Understand the independence of horizontal and vertical vectors in two-dimensional motion.

​Motion in a plane is also referred to as a motion in two dimensions. For example – Circular Motion, Projectile Motion, etc. For the analysis of such type of motion (i.e. Projectile Motion), the reference point will be made of an origin and the two coordinate axes X and Y. One of the most common examples of motion in a plane is Projectile motion.

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