P 2. Kinematics Flashcards

1
Q

Is displacement vector or scalar?
and why?

A
  • Vector
  • Magnitude & direction
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2
Q

Is distance vector or scalar?
and why?

A
  • Scalar
  • No need to state its direction
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3
Q

Define speed?

A

The distance travelled in unit time

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4
Q

Define velocity?

A

The change of displacement per unit time

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5
Q

How to find average speed/velocity?

A

S = D/T

And that’s why it’s m/s O_o

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6
Q

Define acceleration?

A

The change of velocity per unit time

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7
Q

How to find average acceleration?

A

m/s² = m/s/s

that’s why it’s m/s² O_o

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8
Q

Acceleration formula in word form

A

Acceleration = Change in velocity/time taken

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9
Q

What are the 6 features in a displacement-time graph?
(and their definitions)

A
  1. Constant speed = Straight hill
  2. Stationary = Straight
  3. Negative direction = Going down
  4. Positive direction = Going up
  5. Acceleration = arc upwards
  6. Deceleration = arc downwards
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10
Q

What does the gradient in a displacement-time graph give u?

A

Velocity
(average speed)

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11
Q

What happens if u gain the negative gradient?

A

Negative velocity
(opposite direction)

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12
Q

What are the 5 features in a velocity-time graph?
(and their definitions)

A
  1. Constant acceleration = Straight hill up
  2. Constant speed = Straight
  3. Deceleration = Straight hill down
  4. No arcs
  5. There’s still positive/negative directions
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13
Q

What does the gradient give u in a velocity-time graph?

A

Acceleration
(m/s2)

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14
Q

What does the area under line give u in a velocity-time graph?

A

Displacement

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15
Q

What about area under their negative lines?

A

Negative displacement
(therefore ya minus when adding altogether)

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16
Q

Where do u find suvat equations?

A

…. in the damn data booklet.

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17
Q

Define s
(suvat)

A

Displacement

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18
Q

Define u
(suvat)

A

Initial velocity

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19
Q

Define v
(suvat)

A

Final velocity

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20
Q

Define a
(suvat)

A

Constant acceleration

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21
Q

Define t
(suvat)

A

Time

22
Q

How to find initial velocity (u) in v-t graph?

A

The starting point of the “rise”
(Straight hill)

23
Q

How to find the final velocity (v) in v-t graph?

A

The ending point of the “rise”
(Straight hill)

24
Q

How do u derive V = u + at?
(4 steps)

A
  1. v-t graph (velocity time graph)
  2. Gradient = rise/run
  3. a = (v-u)/t
  4. Re-arrange to turn into the formula
    v = u + at
25
Q

How do u derive S = ½ (u+v) t?
(5 steps)

A
  1. v-t graph (velocity time graph)
  2. Displacement = average velocity x time
  3. Average velocity = (u+v)/2
  4. s = ((u+v)/2) x t
  5. Re-arrange to turn into the formula
    s = ½ (u+v) x t
26
Q

How do u derive S = ut + ½at2?
(5 steps)

A
  1. Combine:
    - S = ½(u+v) x t
    - V = u + at
  2. S = ½ (u + {u + at}) x t
  3. Do everything that it takes to get to the “formula”
  4. S = 1/2 (u + at) x t
    S = ut + ½ at2
27
Q

How do u derive v2 = u2 + 2as?
(6 steps)

A
  1. Use both equations:
    - v = u + at
    - s = ½ (u+v) x t
  2. Find t of v = u + at
  3. Sub that equation into second equation
  4. s = ½ (u+v) x (v-u)/a
  5. Do everything it takes to get to the “formula”
  6. s = {(u+v) x (v-u)}/2a
    v2 = u2 + 2as
28
Q

We have a problem, projectile motion. I’d wanna ask for help for this one but ahhh can I at least write summin brief notes?

A
  • Say no air resistance or summin
  • Sometimes asked to find horizontal & vertical components (z sin/cos theta)
  • Use suvat for height or time of flight
  • Range = total horizontal distance
    use d = st
  • Down arc = parabowler
  • for acceleration (9.81), going up is negative, going down is positive
29
Q

Define projectile?
(3 things)

A
  • Any body that is given an initial velocity
  • and then follows a path determined by
  • the effect of gravity on that object
30
Q

Define trajectory?

A

Path followed by a projectile

31
Q

What are the 2 motions consisting within projectile motion?

A
  • Horizontal motion
  • Vertical motion
32
Q

For the vertical motion y, what is it subject to when going up/down?
How come?
(1 each)

A
  • Deceleration on the way up
  • Acceleration on the way down
  • Due to gravity
33
Q

For the horizontal motion x, why does it remain constant?
(2 points)

A
  • Gravity isn’t affected by it
  • Which acts only in vertical plane
34
Q

Tell me about horizontal motion in projectile motion
(Super optional)

A
  • Not affected by gravity
  • Remains constant
    1. Initial velocity = ucosθ
    2. Acceleration = 0
    3. Displacement at time t
  • Use S = ut + 1/2 at2
  • We know a = 0
  • And to find horizontal displacement = uxt
  • ∴ x = (ucosθ)t
    4. Final velocity = same as initial velocity
  • Using v = u + at
  • a = 0
  • vx = ux = ucosθ
    dude just use ucosθ for horizontal component
35
Q

Tell me about vertical motion in projectile motion
(Super optional)

A
  • Subject to deceleration going up
  • Acceleration going down due to gravity
    1. Initial velocity = usinθ
    2. Acceleration = -g (initially & -9.81)
    3. Displacement at time t
  • Use S = ut + 1/2 at2
  • We know a = -g
  • Vertical displacement would be y = uyt - 1/2 gt2
  • ∴ y = (usinθ)t - 1/2 gt2
    4. Final velocity = initial minus gt
  • Using v = u + at
  • a = -g
  • vy = ux
    dude just use usinθ for vertical component
36
Q

What are the 3 types of trajectories for projectile motion questions?

A
  1. Normal Projectile Motion
  2. Trajectory from a cliff
  3. “Elevated” projectile motion
37
Q

What isn’t there for a typical projectile motion question?

A

Air resistance

38
Q

A word for the shape of path created from a trajectory from a cliff?

A

Parabola

39
Q

A “useful” tip for projectile motion questions?

A

Set out suvat symbols

40
Q

For a projectile motion, what are the 2 things u must calculate?
(Connection to basic physics)

A
  • Horizontal components
  • Vertical components
41
Q

What is the vertical component equivalent to?
(suvat)

A

Initial velocity
(u)

42
Q

What’s the final velocity always at for projectile motion?

A

… 0

43
Q

How do u calculate the maximum height reached?
(5 steps)
(Normal Projectile motion)

A
  1. Gain suvat from vertical motion part
  2. Gain u, v & a
  3. S = ?
  4. Use V2 = u2 + 2as
  5. Re-arrange for s
44
Q

How do u calculate time of flight?
(7 steps)
(Normal Projectile motion)

A
  1. Gain suvat from vertical motion part
  2. Gain u, v & a
  3. T = ?
  4. Use V = u + at
  5. Re-arrange for T
  6. Always x2 the answer
  7. As it’s only for the first half of the flight
45
Q

How do u calculate range?
(4 steps)
(Normal Projectile motion)

A
  1. Gain “s”, u & t of horizontal motion part
  2. S = ?
  3. Use s = d/t
  4. Re-arrange for d
46
Q

How do u calculate time taken until it hits?
(5 steps)
(Trajectory from a cliff)

A
  1. Gain suvat from vertical motion part
  2. Gain s, u, & a
  3. T = ?
  4. Use S = ut + ½at2
  5. Re-arrange for T
47
Q

How do u calculate the range?
(4 steps… hollon)
(Trajectory from a cliff)

A
  1. Gain “s”, u & t of horizontal motion part
  2. S = ?
  3. Use s = d/t
  4. Re-arrange for d
48
Q

How do u calculate magnitude and direction of resultant velocity?
(7 steps)
(Trajectory from a cliff)

A
  1. Gain suvat from vertical motion part
  2. Gain s, u, a & t
  3. The shape is like an upside-down right-angled triangle
  4. Use v = u + at
  5. Final velocity = the “opposite”
  6. Pythagoras theorem for resultant velocity
  7. Trigonometry for direction of resultant velocity
49
Q

How to answer projectile motion of an elevated trajectory?
(check-uppp)
(still imp too)

A

3 (Elevated trajectory):
1. Basketball, fadeaway shot, how long it takes for ball to hit ground?
- So this is just purely vertical motion part
- Find vertical component
- Afterwards, hope that it states how high it was released
- Then apparently that height has gotta be negative (could be similar to how going up must be -g)
- Use equation S = ut + 1/2 at2
- And then, u actually just re-arrange to make it into ax2 + bx + c
- Gain values of t by factorising (or use calculator B|)
- Whatever answer u get, obviously it won’t be the negative
(Don’t get confused, keep trying to figure it out, took me a while from the exemplar question)

50
Q

Albert Einstein said that u learn from starting from the first principles

A

Revamped successfully?

51
Q

Unsure about elevated trajectory
However, past papers are a must

A

Correct