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What are the differences between distance and displacement?
Distance: Total path length, scalar quantity. Displacement: Change in position, vector quantity.
What are the differences between speed and velocity?
Speed: Rate of motion (magnitude of velocity), scalar quantity. Velocity: Rate of change of position (speed with direction), vector quantity.
Compare horizontal and vertical motion in projectile motion.
Horizontal (x) motion: Constant velocity (no acceleration). Vertical (y) motion: Constant acceleration due to gravity (g).
Compare scalar and vector quantities.
Scalar: Magnitude only (e.g., distance, speed). Vector: Magnitude and direction (e.g., displacement, velocity, acceleration).
What are the steps to analyze 2D motion?
1. Break the motion into x and y components. 2. Analyze x and y components separately. 3. Time is the same for both x and y.
What are the steps to solve projectile motion problems?
1. Identify initial velocity and launch angle. 2. Calculate initial x and y components of velocity. 3. Analyze vertical motion using kinematic equations with a = -g. 4. Analyze horizontal motion with constant velocity. 5. Use time to connect x and y components.
What are the steps to find the resultant vector?
1. Break down vectors into their x and y components using trigonometry (sin and cos). 2. Combine vector components. 3. Find the overall vector using Pythagorean theorem and trigonometry.
What are the differences between distance and displacement?
Distance: Total path length (scalar) | Displacement: Change in position (vector)
What is the difference between average speed and average velocity?
Average Speed: Total distance traveled divided by time (scalar) | Average Velocity: Change in position divided by time (vector)
Compare horizontal and vertical motion in projectile motion.
Horizontal (x) motion: Constant velocity (no acceleration) | Vertical (y) motion: Constant acceleration due to gravity (g)