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    what is the connection between speed,velocity,and acceleration

    0  Views: 1349 Answers: 3 Posted: 13 years ago

    3 Answers

    Ah....Physics,

    Speed and velocity

    Speed is how fast an object is going with respect to an object. Velocity is a measure of the speed in a given direction. You can say the top speed of an airplane is 300 kilometers per hour (kph). But its velocity is 300 kph in a northeast direction.

    We distinguish between speed and velocity because if you add the speeds of objects, their directions are important. For example, the velocity of an airplane with respect to the ground would vary according to the direction of the wind.

    Acceleration

    Acceleration is the increase of velocity over a period of time. Deceleration is the decrease of velocity. When you start running, you accelerate (increase your velocity) until you reach a constant speed.

    Mathematically, acceleration is the change in velocity divided by the time for the change

    a = (v2 ? v1)/(t2 ? t1)

    where:

    * v2 ? v1 is the end velocity minus the beginning velocity
    * t2 ? t1 is the measured time period between the two velocities

    Often this is written as a = ?v/?t, where ? is the Greek letter delta and stands for difference.

    For example, if an object speeds up from a velocity of 240 meters/second to 560 meters/second in a time period of 10 seconds, the acceleration is (560 - 240)/10 = 320/10 = 32 m/s/s or 32 m/s?.

    Changing direction can also cause acceleration (or deceleration) because the velocity in that direction has changed.
    Summary

    Motion is change in position. All motion is relative to some fixed point or object. Speed is a measurement of that change in position over time. Velocity is speed in a given direction. Acceleration is the increase in speed or velocity over a period of time. Deceleration is the decrease of speed or velocity over time.

    Speed is the rate of change of distance.


    i.e Speed = total distance traveled / total time taken


    Similarly , velocity is the rate of change of displacement.


    i.e. Velocity = Total displacement / total time taken


    and Acceleration is the rate of change of velocity.


    i.e Acceleration = Change in velocity / time taken


    The simple relation establishing speed or velocity and acceleration is:


    v = u + at, where, v = final velocity of the body


     u = initial velocity of the body


    a = uniform acceleration of the body


    and t = time taken by the body


    This equation is valid only for uniform acceleration and also known as the First Equation of Motion.


     Hope this has helped you to understand the relation between speed, velocity and acceleration.


    Note: Speed and velocity are used in same sense, only the different in them is that velocity is related with direction and speed is not.


     


     


     

    TIME


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