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  • What is acceleration if velocity is constant

    • If velocity is zero, then acceleration is what

  • Constant velocity
  • If acceleration is constant, then velocity is zero
  • If velocity is not constant, then acceleration is what
  • If velocity is constant then force is what

    • If acceleration is constant, then velocity is zero.

    3.4 Motion with Constant Acceleration

    Learning Objectives

    By the end of this section, you will be able to:

    • Identify which equations of motion are to be used to solve for unknowns.
    • Use appropriate equations of motion to solve a two-body pursuit problem.

    You might guess that the greater the acceleration of, say, a car moving away from a stop sign, the greater the car’s displacement in a given time.

    But, we have not developed a specific equation that relates acceleration and displacement. In this section, we look at some convenient equations for kinematic relationships, starting from the definitions of displacement, velocity, and acceleration.

    We first investigate a single object in motion, called single-body motion.

    If velocity is increasing then acceleration is what

    Then we investigate the motion of two objects, called two-body pursuit problems.

    Notation

    First, let us make some simplifications in notation. Taking the initial time to be zero, as if time is measured with a stopwatch, is a great simplification.

    Since elapsed time is , taking means that, the final time on the stopwatch. When initial time is taken to be

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