Kinematics Flashcards
Kinematic equation 1?
Missing change in distance. Vf=Vi+aΔt
Kinematic equation 2?
Missing acceleration. Δd = 1/2 (Vi+Vf)Δt
This is the trapezoid equation.
Kinematic equation 3?
Missing Vf. Δd = ViΔt + (1/2)a(Δt^2)
Square + triangle
Kinematic equation 4?
Missing Vi. Δd = VfΔt- (1/2)a(Δt^2)
Bigger square - triangle
Kinematic equation 5?
Missing time. Vf^2 = Vi^2 + 2aΔd
Mneumonic to help remember the order of kinematic equations?
Don’t Accept Fairly Illegal Things
What is missing from each of the 5 equations?
D: Distance
A: Acceleration
F: Final Velocity
I: Initial Velocity
T: Time
What should you be when doing questions?
Systematic, organized, and logical.
What are some general steps to take when solving a question?
Read carefully. Identify the unknown. Substitute. Always use units. Box your final answer.
What is kinematics the study of?
The study of motion (displacement, velocity, time, accelerations). Motion, but not the causes of motion.
What is motion?
The movement of an object from one place to another, measured over time intervals and relative to position of observer or the reference point.
Types of motion?
Uniform; Constant speed in a single direction.
Accelerated; Motion moving with changing speed, direction, or both.
Periodic; A repeating motion pattern in equal intervals of time (A special type of accelerated motion).
What is the difference between vectors and scalars?
Vectors have direction and magnitude. Scalars have magnitude only.
What are some vectors in kinematics?
Displacement. Acceleration. Momentum. Force.
What are some scalars in kinematics?
Distance. Speed. Time. Mass. Energy (covered later).
What is position?
Where one object is with respect to a reference point. Can be positive or negative. Uses vector notation.
What is displacement?
Describes magnitude and direction of the change in position from the original position.
What is distance?
Measurement of length, not specific to direction.
Speed definition.
Rate at which distance changes (only positive; scalar). Represent with V (without vector notation).
Velocity definition.
Speed, but can be positive or negative. Direction of travel matters. Represent with V (with vector notation).
Velocity equation? (As slope).
Velocity = Δd / Δt = (df-di) / (tf-ti).
What is acceleration?
Rate of change of velocity with respect to time. Positive or negative. Represented with the letter a with vector notation.
Units are typically m/s^2 or m/s/s
How does acceleration and velocity relate?
Positive velocity and acceleration: Forward, speeding up.
Negative velocity and acceleration: Backward, speeding up.
Positive velocity, negative acceleration: Forward, slowing down.
Negative velocity, positive acceleration: Backward, slowing down.
What should you remember about lines on a graph of points?
If you need a line, use the line of best fit (typically connects farthest points).
What is the area under a velocity-time graph?
Displacement.
What is the area under an acceleration-time graph?
Change in velocity.
Where might units be found on a graph?
By the title of the axis. Ex: V(m/s) or t(s). This way, units are not needed by each number.
What to remember about breaking apart projectile motion?
Horizontal projectile motion has no acceleration (air resistance is neglected for this unit). Vertical projectile motion is affected by gravity.
How do you add vectors? (Using lines)
Put on line at the end of another —->—->
How do you subtract vectors? (Using lines)
Put the starts of the lines together and connect the ends depending on what is subtracted.
What is free fall?
Falling objects that are not encountering a significant force of air resistance, falling under the sole influence of gravity. In free fall, all objects fall with the same rate of acceleration, regardless of their mass.
What is relative motion?
How an observer views an object in motion with respect to a medium in motion.
Vac=Vab+Vbc
Movement of a relative to c, is the sum of the movement of a through b and the movement of b through c. For example, movement of a plane relative to the ground is the sum of the movement of the plane relative to the air and the movement of the air relative to the ground.
Projectile motion. What is range?
The horizontal distance covered.