Chapter 3 - motion Flashcards
Stopping distance
Thinking distance + braking distance
Effect of speed on thinking distance
It goes up in a linear relationship if we assume that reaction time remains the same
Effect of speed on braking distance
It goes up in an exponential relationship (faster speed and takes longer)
Braking distance
The distance travelled by a vehicle from the moment the brake pedal is pressed until when it stops
Affected by:
- Speed of the vehicle
- Road conditions (wet,icy etc)
- Condition of the vehicle (brakes,tyres etc)
Thinking distance
The distance travelled from the moment the driver sees the hazard until the moment they touch the brake
Affected by:
- Speed of the vehicle
- Distractions (mobile phones, radio etc)
- Awareness (tiredness, alcohol, drugs etc)
Thinking distance equation
speed x reaction time
acceleration with regards to displacement
v^2 - u^2
a = ————-
2s
Free fall
An object which is accelerating under gravity with no other forces acting on it
Acceleration due to gravity
Denoted by g, given the unit ms-2
Projectile motion basics
The horizontal and vertical components of motion are independent from each other
No matter which direction something is released in it will always take the same amount of time to fall if it starts and ends at the same height
Projectile motion rules if we assume there is no air resistance
Vertical velocity changes due to the acceleration due to gravity
The vertical displacement and time of flight can be calculated using SUVAT
Horizontal velocity remains constant
Projectile motion when fired at an angle
Initial velocity = v
Horizontal comment = v cos(theta)
Vertical component = v sin(theta)
Proving that braking distance is directly proportional to speed squared
v^2 = u^2 + 2as v = 0 so u^2 + 2as = 0 s = -u^2/2a
How to go about solving SUVAT questions?
Write down the letters of SUVAT and the information you have for each, use this to choose and potentially rearrange an equation
What does each letter in SUVAT mean?
s = displacement u = initial velocity v = final velocity a = acceleration t = time