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Physics with Calculus: Kinematics and Acceleration Concepts

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Termini in questo insieme (24)

  • What is acceleration?
    Acceleration is the rate of change in velocity.
  • Define distance.
    Distance is how far something travels.
  • Define speed.
    Speed is how fast an object covers a distance.
  • Define velocity.
    Velocity is how fast and in what direction an object covers a distance.
  • What did Galileo say about acceleration on an inclined plane?
    The steeper the slope of an inclined plane, the greater the acceleration of the ball.
  • What is the magnitude of acceleration for a ball falling vertically near Earth's surface?
    The magnitude of acceleration is \(9.80\) m/s².
  • If a car travels east but covers less distance each second, what is the direction of its acceleration?
    The acceleration vector points westward, opposite to the velocity.
  • What is true about an object in free fall on Earth?
    It accelerates downward at about \(9.8\) m/s², gaining approximately 10 m/s in velocity each second.
  • What happens to a ball's speed when dropped?
    It falls and increases speed at a rate of \(9.8\ m/s^2\) every second.
  • Is a car traveling at constant speed in a circle accelerating?
    Yes, the car is accelerating because its velocity is changing direction.
  • Which motions are classified as acceleration?
    An increase or decrease in velocity, and going around a curve at constant speed.
  • If you swim across a stream aiming directly across, where do you end up?
    You end up downstream from the tree due to the current.
  • What is the acceleration magnitude at the top of a ball's upward throw?
    The acceleration magnitude remains \(9.8\) m/s² downward.
  • How does the distance fallen during the second second compare to the first second for a dropped ball?
    The ball falls farther during the second second than during the first.
  • What does relative motion mean?
    Motion described differently depending on the observer's frame of reference.
  • What is the velocity of a stone thrown upward at 30 m/s when it returns to your hand?
    The velocity is \(-30\ m/s\), equal in magnitude but opposite in direction.
  • What happens if an object's acceleration vector points in the same direction as its velocity vector?
    The object is speeding up.
  • What is needed to define an object's position in a plane?
    The object's distance from a reference point and its angle from a reference line.
  • What is the velocity of a ball at the top of its ascent when thrown straight up?
    The velocity is zero at the top of its ascent.
  • What is the approximate speed of an object dropped from rest after 3 seconds?
    Approximately \(30\ m/s\).
  • What does the symbol \(g\) represent?
    g is the magnitude of acceleration due to gravity.
  • What does a car's speedometer measure?
    It measures the car's instantaneous speed.
  • How does the distance fallen in the first 3 seconds compare to the next 3 seconds for a dropped ball?
    The ball falls farther in the second 3-second interval than in the first.
  • What happens if an object's acceleration vector points opposite to its velocity vector?
    The object is slowing down.