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What are the differences between displacement and distance?
Displacement: Change in position, can be negative. Distance: Total path length, always positive.
What are the differences between velocity and speed?
Velocity: Rate of change of displacement, vector quantity. Speed: Rate of change of distance, scalar quantity.
How do constant acceleration and non-uniform acceleration differ in problem-solving?
Constant Acceleration: Kinematic equations can be used directly. Non-uniform Acceleration: Kinematic equations cannot be directly applied; requires calculus or graphical analysis.
Compare and contrast position vs. time and velocity vs. time graphs.
Position vs. Time: Slope is velocity. Velocity vs. Time: Slope is acceleration, area under the curve is displacement.
Compare the effect of gravity on objects of different masses.
Gravity: Acceleration due to gravity is constant (approximately 10 m/s²) and does not depend on the object's mass.
How do you find instantaneous velocity from a position vs. time graph?
Determine the slope of the tangent line at the point of interest on the position vs. time graph.
How do you find displacement from a velocity vs. time graph?
Calculate the area under the curve between the initial and final times on the velocity vs. time graph.
How do you find the change in velocity from an acceleration vs. time graph?
Calculate the area under the curve between the initial and final times on the acceleration vs. time graph.
How do you solve for final velocity with constant acceleration, given initial velocity and time?
Use the equation: $v_{x}=v_{x 0}+a_{x} t$.
How do you solve for final position with constant acceleration, given initial position, initial velocity, and time?
Use the equation: $x=x_{0}+v_{x 0} t+\frac{1}{2} a_{x} t^{2}$.
What is the effect of a positive slope on a position vs. time graph?
The object is moving in the positive direction.
What is the effect of a negative slope on a velocity vs. time graph?
The object is slowing down (decelerating).
What is the effect of gravity on an object thrown upwards near Earth's surface?
The object experiences a constant downward acceleration of approximately 10 m/s².
What happens to the maximum height of a projectile if gravity is halved?
The maximum height doubles.
What is the effect of constant acceleration on an object's velocity?
The object's velocity changes uniformly over time.