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Concepts of Motion - Physics

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  • Which car is moving slower in a motion diagram with equal time intervals?
    The car with smaller distances between positions in the motion diagram is moving slower.
  • Identify the motion types: dust particle settling, ball dropped, and descending rocket slowing down.
    Dust particle settles at constant speed, ball dropped accelerates downward, rocket slows down for soft landing.
  • How do you find the vector sum of two vectors P and Q?
    Add vectors head-to-tail; the resultant vector points from the tail of the first to the head of the second.
  • How do you find the vector difference P - Q?
    Subtract vector Q from P by adding P to the negative of Q (reverse Q's direction).
  • What happens to the velocity vector of a particle accelerating from point 1 to 2 and moving to point 3?
    The velocity vector changes direction and magnitude according to acceleration; it points along the new direction of motion.
  • Describe the motion diagram of a cyclist stopping from 20 mph in 4 s and then accelerating to 15 mph in 6 s.
    The motion diagram shows decreasing spacing between points during stopping, then increasing spacing during acceleration.
  • At the highest point of a ball tossed straight up, what is the direction of its acceleration vector?
    The acceleration vector points downward due to gravity, even at the highest point.
  • If a particle is slowing down and its position x is positive, what is the sign of its velocity v_x?
    Velocity v_x is positive if the particle is slowing down while position x is positive.
  • For a particle slowing down, what is the sign of its acceleration a_x?
    Acceleration a_x is negative if the particle is slowing down while moving in the positive direction.
  • How to interpret a graph showing an object moving along a straight line with stops and starts?
    The graph likely represents a car that drives and stops repeatedly.
  • How to rank numbers by the number of significant figures: 8200, 0.0052, 0.430, 4.321 × 10⁻¹⁰?
    4.321 × 10⁻¹⁰ has 4 sig figs, 0.430 has 3, 0.0052 has 2, and 8200 is ambiguous but often 2.
  • What does a motion diagram with arrows decreasing in length indicate?
    It indicates the object is slowing down, as velocity magnitude decreases.
  • How does acceleration relate to velocity when an object slows down?
    Acceleration vector points opposite to the velocity vector when slowing down.
  • What is the significance of the acceleration vector at the top of a vertical motion?
    Acceleration is not zero at the top; it points downward due to gravity.
  • How to find acceleration while an object is going up or down in vertical motion?
    Acceleration vector points downward both going up and coming down due to gravity.
  • What does a motion diagram with equal spacing between points indicate?
    It indicates constant velocity motion.
  • How to represent velocity and acceleration vectors in a slowing particle moving along x-axis?
    Velocity vector points in direction of motion; acceleration vector points opposite when slowing.
  • What does a motion diagram with arrows pointing opposite to velocity indicate?
    It indicates deceleration or negative acceleration.
  • How to interpret vectors P and Q when P points diagonally down and Q points left?
    Vector addition P + Q results in a vector combining both directions; subtraction reverses Q.
  • What is the effect of acceleration on velocity vectors between points in motion?
    Acceleration changes the velocity vector's magnitude and/or direction between points.