Chapter 2~ Accelerated Motion Flashcards

Key ideas 💡, definitions and formula

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1
Q

Definition of acceleration

A

°the rate of change in velocity

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2
Q

Formula for acceleration =

A

a=🔼v/ 🔼t

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3
Q

🔼v stands for

A

The change in velocity.

🔼v = v (final) - u(initial)

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4
Q

Any object has acceleration if (2)

A
  • it’s speed is changing

* changing its direction

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5
Q

Unit of acceleration

A

ms-2

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6
Q

Gradient of a velocity time ⌚ graph =

A

Acceleration

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7
Q

A straight line with a positive slope on a velocity time ⌚ graph represents

A

Constant acceleration

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8
Q

The steeper the slope of a v-t graph…

A

The greater the acceleration

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9
Q

When the gradient on a v-t graph is zero. It means two things

A
  1. velocity is constant

2. Therefore acceleration =0

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10
Q

A negative slope on a v-t graph means

A

Deceleration

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11
Q

If the slope is changing on a v-t graph it means

A

Acceleration is changing

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12
Q

The area under a v-t graph equals?

➕ formula

A

Displacement

Area =1/2 x b x h

Sometime is a rectangle A= L x B

(sometimes you have to count the ‘squares’ under the graph)

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13
Q

The 4 equations of motion:

A
  1. v= u + at
  2. v^2= u^2 +2as
  3. s= ut + 1/2at^2
  4. s= (u+v/2) x t
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14
Q

The 4 equations of motion can only be used for 2 things namely:

A
  1. Motion in a straight line

2. For an object with constant acceleration

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15
Q

The 4 equations of motion can only be used for 2 things namely:

A
  1. Motion in a straight line

2. For an object with constant acceleration

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16
Q

How to derive the first equation of motion:

v= u + at

2 steps :

A
  1. Acceleration is defined as the rate of change in velocity :

a= v-u/t

  1. Rearrange this to get v as the subject of the formula :
    v =u +at
17
Q

How to derive s=((u+v) /2)x t

2 steps

A
  1. Displacement =the average velocity x time taken (defined from v =d/t)
  2. Average velocity = (v+u) /2

Therefore :

s= ((u+v) /2) x t

18
Q

How to derive s = ut +1/2at^2

3 steps :

A

Step 1: We need 2 equations :

  1. v=u+at
  2. s= ((u+v) /2)x t

Step 2: Sub v from equation 1 in equations 2’s v

s= ((u+u+at) /2)x t

s=(2ut)/2 +(at^2)/2

Step 3: simplify

So s= ut + 1/2 at^2

19
Q

How to derive v^2 =u^2 + 2as

3 steps :

A
  1. Use two equations :

One : v= u+at

Two : s= ((u+v)/2)x t

  1. Sub t in from equation one

s= ((u +v) /2) +((u-v) /a)

Step 3

Rearrange to get 2as =(u+v) (v-u)

Then v^2 = u^2 +2as

20
Q

For s=ut +1 /2at^2

What 2 equations do you use and what do you substitute?

A

Equations: v =u +at

                s= ((u+v) /2) x 2

Sub v in from equation one in equation two

21
Q

v^2 = u ^2 +2as

What 2 equations do you use and what do you substitute in?

A

Equations : v = u +at

                   s = ((u+v) /2) x t

Sub in t from equation one into equation two

22
Q

What is acceleration caused by gravity

A

9.81ms-^2

23
Q

The vertical motion of an object is affected by 1 things :

A
  1. Weight
24
Q

The horizontal component is unaffected by?

A

Gravity

25
Q

In the absence of air resistance, the object has a constant velocity in the horizontal when means….

A

No acceleration

26
Q

To find the component of any vector (e.g. Displacement, velocity, acceleration, etc) in a particular direction, there are 2 steps :

And the equation

A

Step 1:
find the angle🎈 between the vector and the direction of interest

Step 2 :
Multiple the vector by cosine of the angle🎈

vcos🎈

27
Q

Definition of terminal velocity

A

The maximum velocity of an object travelling through a fluid. The resultant force on the object is zero. (when the weight of the object = the air resistance)

28
Q

Definition of lost volts

A

The difference between the e.m.f. and the terminal p.d in a circuit. It is equal to the voltage ⚡ across the internal resistance.