Physics: Rectilinear Motion

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In uniform rectilinear motion, the acceleration of an object is zero.

True

Uniformly varied rectilinear motion is a type of motion where the acceleration is constant.

True

The velocity-time graph of an object in uniform rectilinear motion is a parabola.

False

The acceleration of an object in uniformly varied rectilinear motion is inversely proportional to the time.

False

The distance-time graph of an object in uniform rectilinear motion is a straight line.

True

La velocidad de un objeto en UARM cambia a una tasa constante en función del tiempo.

True

La gráfica de desplazamiento vs tiempo para un objeto en UARM es una línea recta.

False

La ecuación $v^2 = u^2 + 2as$ describe la relación entre la velocidad final y la posición inicial de un objeto en UARM.

True

Un objeto en UARM puede moverse en una dirección circular.

False

La gráfica de velocidad vs tiempo para un objeto en UARM es una línea curva.

False

Study Notes

Uniform Rectilinear Motion

  • Acceleration of an object is zero, indicating constant velocity.
  • Distance-time graph of an object is a straight line, showing uniform motion.

Uniformly Varied Rectilinear Motion

  • Acceleration is constant, resulting in a non-uniform velocity.
  • Velocity-time graph is not a parabola, unlike a common misconception.
  • Acceleration is inversely proportional to time, implying a direct relationship between acceleration and time.

Uniformly Accelerated Rectilinear Motion (UARM)

  • UARM is a type of motion that occurs when an object moves in a straight line with a constant acceleration.

Characteristics of UARM

  • Object moves in a straight line (rectilinear motion).
  • Constant acceleration, meaning it does not change with time.
  • Velocity of the object changes at a constant rate.

Kinematic Equations for UARM

  • v = u + at: final velocity equals initial velocity plus acceleration times time.
  • s = ut + (1/2)at^2: displacement equals initial velocity times time plus half acceleration times time squared.
  • v^2 = u^2 + 2as: final velocity squared equals initial velocity squared plus two acceleration times displacement.

Graphical Representation of UARM

  • Velocity-time graph: a straight line with a constant slope, representing constant acceleration.
  • Displacement-time graph: a parabola, showing increasing displacement with time.

Examples of UARM

  • Freely falling objects under gravity, such as a ball dropped from a height.
  • Objects moving on a frictionless inclined plane.
  • Rockets accelerating in a straight line.

Test your understanding of uniform rectilinear motion and uniformly varied rectilinear motion, including acceleration, velocity, and distance-time graphs.

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