What are the definitions for scalars and vectors?
Scalars: have only one quantity
Vectors: have more than one quantity (magnitude and direction)
speed = distance/time
velocity = displacement over time
acceleration = change in velocity/change in time
If vi is equal to 0, what two formulas can we use to find displacement during accelerated motion?
d=(vf/2)t
d=(1/2)a(t)2
What is the formula for the slope of a graph?
slope = rise/run
or
slope = (y2-y1)/(x2-x1)
Give a real life example where it is important to know displacement during accelerated motion.
E.g. Merging lanes, traffic lights, etc. (answers may vary)
Speed: 1.9 m/s
Displacement: 1.9 m/s [N]
Acceleration = velocity/time
velocity/time = (m/s)/s = m/(s x s) = m/s2
A spacecraft accelerates at a constant rate of 6.9 m/s2 [up] for 46.0s. How far will the spacecraft travel during this time?
7.3 x 103 m [up]
What does the slope of this graph represent?
(See drawing #1 on board)
Speed
Sadie
What is another way or writing -6.0 m/s [L]?
(HINT: Think about the directions)
6.0 m/s2 [R]
A dog is happily walking in the yard at 0.7 m/s [W] when they all of a sudden see a bird and start running towards it, reaching 4.9 m/s [W] in 2.00 seconds. What was the dog's acceleration?
2.1 m/s2 [W]
What is the acceleration of a boat that had a displacement of 79.0 m [W] and travelled for 47 seconds?
What kind of motion is occurring in this graph?
(See drawing #2 on the board)
Non-uniform accelerated motion
24.56
2.46 x 101
A race car goes completely around a 1.7km oval racetrack in 22 seconds. What is the speed of the car? What is it's velocity?
Speed: 77 m/s
Velocity: 0 m/s
A car is driving at 55 km/h [E] when they have to stop suddenly for a red light. The car comes to a stop in 6.2 seconds. What was the acceleration of the car?
-2.5 m/s [E]
or
2.5 m/s[W]
How long did it take for a tractor to travel across a field that was 2.9 km in length while going 2.8 m/s [E]?
46 seconds
Is the motion in both of these graphs the same or different? What kind of motion is it?
(See drawing #3 on the board)
Yes. It is uniform velocity.
Is mass a scalar or vector quantity?
A bird flies 15 m [S] in 8.0 seconds, 34 m [N] in 29 seconds, and then 62 m [S] in 55 seconds. What was the bird's velocity?
4.7 x 10-1 m/s [S]
An individual is riding their bike at 15.2 m/s [S] and accelerates by 1.8 m/s [S] over 7.0 seconds. What is the final velocity of the bike?
28 m/s [S]
An individual has an initial velocity of 1.7 m/s [R] and travels at that velocity for 3.45 minutes. They then accelerate at 0.21 m/s2 [R] for 5.91 seconds. What was their total displacement?
6.3 x 102 m [R]
What type of motion is occurring at A, B, C, and D?
(See drawing #4 on the board)
A: Acceleration
B: Uniform Velocity
C: Deceleration
D: No velocity (stopped)