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    summerschool's Avatar
    summerschool Posts: 2, Reputation: 1
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    #1

    Jul 8, 2008, 06:41 PM
    Grade 11 Physics: Velocity at Half-time
    It is true that "during constant acceleration, the average velocity for an interval is equal to the instantaneous velocity at half-time in the interval."

    What I don't understand is, what is half-time and how do we obtain it?

    Also, What does the area under a velocity-time graph give for a moving object? My guess is acceleration... is this right?

    Thanks so much! :)
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Jul 9, 2008, 04:54 AM
    Constant acceleration is a straight line with a positive gradient on a velocity-time graph. If you make the 'average' velocity, you'll obtain the midpoint, i.e. where the time between the intervals is half (thus half-time). Half time can be calculated using the formula for average. Since you are using a time interval, you'll have only two time instants. Average (or half time) is:
    (initial time+final time)/2

    Also, What does the area under a velocity-time graph give for a moving object? My guess is acceleration... is this right?
    Unfortunately, no. The answer is distance. You have the acceleration by the gradient of the graph.

    Hope that helped!
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