Chapter 2: Motion In A Straight Line Flashcards
Accelerating motion
Movement involving changes in speed or direction or both
Non-accelerating motion
Movement in a straight line at a constant speed
Displacement
- The shortest distance from one point to another, in a certain direction
- The change of position of an object in a given direction
- A vector quantity
Distance
- The amount of ground covered
- How far you have travelled
- The path taken, or travelled
- Scalar quantity
Speed
- Scalar quantity
- Defined as the rate of change of distance
- Average speed = total distance / total time
- Instantaneous speed = small distance travelled in a stated direction / time taken for this small distance
Velocity
- Speed in a particular direction
- The rate of change of displacement
- Vector quantity
- Average velocity = total displacement / total time
- Instantaneous velocity = small displacement travelled in a stated direction / time take for this small displacement
Residual error
|average - furthest away data|
Kinematics
The study of motion
Acceleration
- Rate of change of velocity
- Slope of a velocity-time graph gives acceleration
a = final velocity - initial velocity / time taken
Velocity-time graph
- Slope gives acceleration
- Area beneath gives displacement
- Straight line sloping upwards indicates constant acceleration
- Straight line sloping downwards indicates constant deceleration
- Horizontal line indicates zero acceleration, that is, constant velocity
Acceleration-Time graph
- Area beneath gives velocity
- Horizontal line on x-axis indicates zero acceleration, so constant velocity
- Horizontal line otherwise indicates constant acceleration
Acceleration due to gravity
- Galileo first proved that, if we ignore the effect of air resistance, the acceleration of falling objects is constant, and doesn’t depend on mass
- Acceleration due to gravity = 9.8 m/s/s down
- When air resistance is assumed to be negligible, we say the objects is ‘free falling’
Two main forms of motion due to gravity
Vertical motion - object moves in one dimension only, that is, up and down
Projectile motion - object moves horizontally as well as vertically (e.g. stone thrown off cliff)
Types of free-fall motion
- Object is being dropped or thrown down
- Object is being thrown upward
- Up direction is positive acceleration, therefore acceleration due to gravity is constant at 10 m/s/s in the negative direction
- Negative acceleration does not always mean deceleration
- If an object is moving in the negative direction and has negative acceleration then it will get faster in that negative direction
- If it is moving in the positive direction and has a negative acceleration then it is slowing down in that positive direction
Case 1 of free-fall motion: Dropped or thrown down
- In both cases velocity increases
- When dropped, initial velocity is zero, but when thrown down the velocity begins at some negative value
- Either way, velocity begins at some negative value
Case 2 of free-fall motion: Throwing an object upward
- Object starts at a high initial velocity in the positive direction
- Gradually slows to a halt at the top of its flight (v = 0)
- Gradually increases velocity in the negative direction until it returns to the ground
- Time of flight up equals time of flight down
- Acceleration is constant even at the top of flight when v=0
- Initial speed equals final speed
- Final velocity equals negative of initial velocity
Ticker timer
- Records the motion of an object
- Specifically designed for physics experiments
- Has a metal arm that vibrates at constant intervals (up and down 50 times per second)
- A needle on the arm strikes carbon paper and records dots on paper tape pulled through the timer
- The dots give a record of motion (distance between can be used to calculate the velocity of the moving object)
- The faster the motion, the greater the space between dots
Displacement-time graphs
- Slope of the line gives velocity
- If the graph goes up in a straight line the velocity is constant
- If the function is a curve, then a tangent must be drawn to find instantaneous velocity
- Horizontal line indicates no movement
- If line curves upwards, this indicates constant acceleration