Question

how can we determine the speed of an object from its distance-time graph.please help me.

Answer 1

Velocity is the derivative (rate of change) of position with respect to time.

Speed is the magnitude of the velocity.

So, from your distance vs. time graph, taking the derivative would give you the speed.

If you are doing this graphically, if the distance vs. time graph is:

A STRAIGHT LINE - simply take the slope of that line.

A CURVE - draw the tangent line at any point on the curve - the slope of that tangent line is your speed.

Answer 2

If an object moves along a straight line, the distance travelled can be represented by a distance-time graph. In a distance-time graph, the gradient of the line is equal to the speed of the object. The greater the gradient (and the steeper the line) the faster the object is moving.

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#Hope it helps u....