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Physics: Kinematics Equations

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  • What is the equation for displacement with constant velocity?

    Displacement is given by \(x = v t\), where v is velocity and t is time.

  • What is the equation for velocity with constant acceleration?

    Velocity is given by \(v = v_0 + a t\), where v_0 is initial velocity, a is acceleration, and t is time.

  • How do you calculate displacement with constant acceleration?

    Displacement is \(x = v_0 t + \frac{1}{2} a t^2\), where v_0 is initial velocity, a is acceleration, and t is time.

  • What is the equation relating velocity and displacement without time?

    Velocity squared is \(v^2 = v_0^2 + 2 a x\), where v_0 is initial velocity, a is acceleration, and x is displacement.

  • Define initial velocity in kinematics.

    Initial velocity (v_0) is the velocity of an object at the start of the time interval.

  • What does acceleration represent in kinematics?

    Acceleration is the rate of change of velocity with respect to time.

  • How is average velocity calculated for constant acceleration?

    Average velocity is \(\frac{v_0 + v}{2}\), the mean of initial and final velocities.

  • What is the displacement formula using average velocity?

    Displacement is \(x = \frac{v_0 + v}{2} t\), where t is time.

  • What assumptions are made in the kinematics equations?

    They assume constant acceleration and motion in a straight line.

  • How do you find time when displacement and acceleration are known?

    Use \(x = v_0 t + \frac{1}{2} a t^2\) and solve for t.

  • What is the significance of v = v_0 + a t?

    It gives the velocity at any time t under constant acceleration.

  • How to calculate displacement if initial velocity is zero?

    Displacement is \(x = \frac{1}{2} a t^2\) when v_0 = 0.

  • What does the equation v^2 = v_0^2 + 2 a x allow you to find?

    It allows finding final velocity without knowing time.

  • How is velocity related to displacement and acceleration?

    Velocity changes with displacement according to \(v^2 = v_0^2 + 2 a x\).

  • What is the physical meaning of displacement x?

    Displacement is the change in position of an object from its starting point.

  • How do kinematics equations apply to free fall?

    Use the same equations with a = g, acceleration due to gravity.

  • What is the unit of acceleration in SI units?

    Acceleration is measured in meters per second squared (m/s²).

  • How to find time when velocity and acceleration are known?

    Rearrange \(v = v_0 + a t\) to solve for t.

  • What is the difference between speed and velocity?

    Velocity includes direction; speed is scalar without direction.

  • Why are kinematics equations important in physics?

    They describe motion under constant acceleration, fundamental for mechanics.