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Speed is measured in units of (Distance) over (Time). So Speed divided by Time would be equivalent to (Distance) over (Time squared), which is the unit of measurement for Acceleration.
it is very simple........... velocity or speed = distance / time. acceleration = velocity / time but, we know that velocity = distance / time so just substitute the equation of velocity in acceleration...... so, finally we get , acceleration = distance/time*time so it is time squared.
Distance = (1/2 of acceleration) x (time squared)You can change this around to solve it for acceleration or time.(Time squared) = (distance)/(half of acceleration)Time = the square root of [ (2 x distance)/(acceleration) ]Be careful . . .This is only true if the distance and the speed are both zero when the time begins.
Each term in the equation has dimensions of velocity-squared (remember "a" here is acceleration which is velocity divided by time, so "as" is velocity x distance / time = velocity squared).
A distance vs time squared graph shows shows the relationship between distance and time during an acceleration. An example of an acceleration value would be 3.4 m/s^2. The time is always squared in acceleration therefore the graph can show the rate of which an object is moving