1. EQ 1: What is motion?
How do you know you are in motion?

2. Motion
Motion is a change in the location of a body with respect to a reference point.

3. Distance is a measure of how far something has moved.
SI Unit for length is the meter.
Distance SI Unit for length is the meter.

4. DISPLACEMENT
As an object moves from one position to another, the length of the straight line drawn from its initial position to the object’s final position is called the displacement of the object.

5. DISPLACEMENT
Pause for a Cause:
A man walks 20 miles from his house, and ends up 10 miles from where he started.
His displacement is

6. DISPLACEMENT
Displacement is not always equal to the total distance traveled.
Displacement can be positive or negative.

7. Speed and Velocity
Speed is a scalar quantity which refers to how fast an object is moving. (distance over time)
Velocity is a vector quantity. It is speed in a given direction or rate of change of displacement. *
Scalar-has magnitude
Vector-magnitude with direction

8. Average Speed
The average speed is given by:
The unit for speed is meters (meters) per second (m/s),
kilometers per hour (kph), centimeters per second,
and miles per hour (mph).

9. Solve the Literal Equation
S = d/t
S = d/t

10. An MTR train takes 1267 seconds to travel a distance of 1557.9 m.
Pause for a Cause
An MTR train takes 1267 seconds to travel a distance of m.
What is the trains speed?
S = d/t
d = m
t = 1270 s
S = 1.23 m/s
S = d/t

11. Speed vs Velocity
Speed and Velocity are similar in every way but, Velocity includes the speed of an object and the direction it is moving
Speed vs Velocity

12. An MTR train travels south for 1267 seconds and covers 1557.9 meters.
Pause for a Cause
An MTR train travels south for 1267 seconds and covers meters.
What is the trains velocity?
V = d/t
d = m
t = 1270 s
V = 1.23 m/s
S = d/t

13. Pause for a Cause
The train travels back north for 1400 seconds at 1.23 m/s
How distance does the train travel?
V = d/t
d = vt
v = 1.23 m/s
t = 1400 s
d = 1722 m
S = d/t

14. Bell Ringer
A bicyclist rides his bike at a velocity of 25m/s, before cycling up a hill. Peddling uphill his velocity decreases to 10m/s. What is his average velocity?
Vavg. = Vi + Vf 2
Vavg. = 25m/s + 10m/s = 17.5m s

15. Acceleration
Acceleration is the rate of change in velocity. If a driver steps on his accelerator, his car moves faster—it accelerates (positive acceleration). If he steps on his brake, his car slows down—it decelerates (negative acceleration or retardation) .
A change in velocity is given by the difference of the final velocity and the initial velocity. Thus, we have the equation:
m/s
This is expressed in s

16. Acceleration
When the velocity of an object changes, the object is accelerating.
A change in velocity can be either a change in fast something is moving, or a change in the direction it is moving.
Acceleration is the change in velocity over time. m
SI Unit for acceleration is expressed in s2

17. Three Simple Equations of Motion
Average speed
Acceleration

18. Three Not-So-Simple Equations
Uniform Acceleration
Vf = Vi + at
ΔX = Vit + at2 2
Vf2 = Vi2 + 2aΔX

19. Three Not-So-Simple Equations
Uniform Acceleration
Vf = Vi + at
Vf =final velocity
Vi =initial velocity
a=acceleration
t=time taken

20. Uniform Acceleration Vf = Vi + at
a = Vf - Vi  at = Vf - Vi t Vf = Vi + at

21. ΔX = Vit + at2 2 ΔX =displacement (distance from starting point)
Vi =initial velocity
t =time taken
a=acceleration

22. ΔX = Vit + at2 2 Vavg = Vf + Vi V = ΔX  ΔX = Vt 2 t
Vavg = Vf + Vi ΔX = Vt  2
ΔX = Vf + Vi t 2
ΔX =(Vi + Vi +at)t
Vf = Vi + at
ΔX = Vf + Vi t  2
ΔX =(2Vi+at)t  ΔX = Vit + at2

23. Vf2 = Vi2 + 2aΔX Vf =final velocity Vi =initial velocity
a=acceleration
ΔX =displacement

24. Vf2 = Vi2 + 2aΔX Vavg = Vf + Vi V = ΔX  ΔX = Vt 2 t
Vavg = Vf + Vi ΔX = Vt  2
ΔX = Vf + Vi t 2
ΔX = Vf + Vi t 2
a = Vf - Vi t
aΔX =
Vf + Vi t 2
Vf - Vi t
aΔX = Vf2 – Vi2 2
2aΔX + Vi2 = Vf2
Vf2 = 2aΔX + Vi2

25. 17). A body with an initial velocity of 8 m/s moves with a constant acceleration and travels 640 m in 40 seconds. Find its acceleration.
ΔX = Vit + at2 2
ΔX = Vit + at2 2
640m = (8m/s)40s + a(402)
ΔX =640m
Vi =8m/s
t =40s
a=?
640m = 320m + a800
320m = a800s2
a = 0.4m/s2

26. 17). A body with an initial velocity of 8 m/s moves with a constant acceleration and travels 640 m in 40 seconds. Find its acceleration.
ΔX = Vit + at2 2
ΔX = Vit + at  2ΔX = 2Vit + at2 2
ΔX =640m
Vi =8m/s
t =40s
a=?
2ΔX = Vit + at2  2ΔX - 2Vit = at2
2ΔX - 2Vit = at  2ΔX - 2Vit = a t2
2ΔX - 2Vit = a = 2(640) – 2(320) t
a = 1280m m
1600s2
a = 0.4m/s2

27. 18) A box slides down an inclined plane with a uniform acceleration and attains a velocity of 27 m/s in 3 seconds from rest. Find the final velocity and distance moved in 6 seconds (initially at rest).
a = Vf - Vi t
V =27m/s
Vi =0m/s
t =3s 6s
Vf =?
a = Vf - Vi t
a = 27m = 9m/s2
s * 3s
54m/s
a = 9m/s2
Vf = Vi + at 
Vf = m(6s) = 54m/s s2
ΔX = Vit + at2 2
ΔX = 9m(6s)2 = 162m
s2 2
Vit = 0

28. 19) A car has a uniformly accelerated motion of 5 m/s2
19) A car has a uniformly accelerated motion of 5 m/s2. Find the speed acquired and distance traveled in 4 seconds from rest.
ΔX = Vit + at2 2
ΔX = Vit + at2 2
a = 5m/s2
t =4s
ΔX =?
V = ?
Vit = 0
40m
20m/s
ΔX = at2 2
ΔX = 5m(4s)2 = 40m
s2 * 2
Vf = Vi + at
Vf = m(4s) = 20m/s s2

29. 20) Before leaving the ground an airplane traveling with constant acceleration makes a run on the runway of 1800 m in 12 seconds. Find a) acceleration b) speed at which it leaves the ground.
ΔX = Vit + at2 2
ΔX = at2 2
a = ?
t =12s
ΔX = 1800
V = ?
Vit = 0
a = 2ΔX t2
a = 2(1800) = 25m/s2
122
Vf = 25(12) = 300m/s
Vf = Vi + at

30. 21) A marble is dropped from a bridge and strikes the water in 5 seconds. Calculate the speed with which it strikes and the height of the bridge. (hint: The acceleration of gravity is 9.8m/s2)
ΔX = Vit + at2 2
a = 9.8m/s2
t = 5s
ΔX = ?
V = ?
Vit = 0
ΔX = at2 2
ΔX = 9.8(5s)2 = 122.5m 2
Vf = Vi + at
Vf = 9.8(5) = 49m/s

31. 22) A car starts from rest and accelerates uniformly to a velocity of 80 ft/s after traveling 250 ft. Find its acceleration.
Vf2 = Vi2 + 2aX
a = ?
Vi = 0
ΔX = 250
V = 80 ft/s
Vf2 = 2aX
Vi = 0
Vf2 = 2aX
a = Vf2 2X
a = (80)2 = 12.8m/s2
2(250)

32. 23) What velocity is attained by an object which is accelerated at 0
23) What velocity is attained by an object which is accelerated at 0.30 m/s2 for a distance of 50 m with a starting velocity of 0.0 m/s?
Vf2 = Vi2 + 2aX
a = 0.30 m/s2
Vi = 0
ΔX = 50
V = ?
Vf2 = 2aX
Vi = 0
Vf2 = 2aX
Vf = √2aX
Vf = √2(0.30)(50) = 5.5m/s

33. Graphing Constant Acceleration
cccccc

34. Study Guide
1. The distance traveled by an object divided by the time it takes to travel that distance is called
Study Guide

35. Study Guide
2. In order to determine speed, you must know
Study Guide

36. Study Guide
4. The difference between speed and velocity is that velocity includes
Study Guide

37. Study Guide
5. An airplane is flying at 635 km per hour at an altitude of m. It is currently over Kansas and is approximately 16 minutes ahead of its scheduled arrival time. What is its velocity?
Study Guide

38. Study Guide
6. Acceleration is defined as the change in velocity divided by
Study Guide

39. Study Guide
7. The SI unit for acceleration is
Study Guide

40. Study Guide
8. On a velocity-time graph, a line with a negative slope indicates that the object is
Study Guide

41. Study Guide
9. A car moved 20 km to the South. What is its displacement?
Study Guide

42. Study Guide
10. A car moved 20 km East and 80 km West. Draw a diagram and determine the distance?
Study Guide

43. Study Guide
11. A car moved 120 km East and 180 km West. Draw a diagram and determine the displacement?
Study Guide

44. Study Guide
12. What is the average speed of a car that traveled miles in 7.2 hours?
Study Guide

45. Study Guide
13. How much time would it take for the sound of thunder to travel 50 meters if sound travels at a speed of 33 m/sec?
Study Guide

46. Study Guide
14. How much time would it take for an airplane to reach its destination if it traveled at an average speed of 500 miles/hour for a distance of 5,000 kilometers if there is 1.6km in 1 mile?
Study Guide

47. Study Guide
15. How far can a person run in 45 minutes if he or she runs at an average speed of 32 km/hr? (HINT: Remember to convert minutes to hours.)
Study Guide

48. Study Guide
16. A snail can move approximately 0.30 meters per minute. How many meters can the snail cover in 15 minutes?
Study Guide

49. Study Guide
17. A body with an initial velocity of 8 m/s moves with a constant acceleration and travels 640 m in 40 seconds. Find its acceleration.
Δx = Vit + at2 2
Study Guide

50. Study Guide
18. A car has a uniformly accelerated motion of 5 m/s2. Find the speed acquired and distance traveled in 4 seconds from rest.
Δx = Vit + at Vf = Vi + at 2
Study Guide

51. Study Guide
19. A car starts from rest and accelerates uniformly to a velocity of 80 ft/s after traveling 250 ft. Find its acceleration.
Vf2 = Vi2 + 2aX
Study Guide

52. Study Guide
20. What velocity is attained by an object which is accelerated at 0.30 m/s2 for a distance of 50 m with a starting velocity of 0.0 m/s?
Vf2 = Vi2 + 2aX
Study Guide