Question

what is speed time graph? How can you calculate distance traveled by object with the help of speed time graph

Answer 1

speed time graph

y axis - speed
x axis - time (which is independent of speed)


we can calculate distance travelled by speed time graph as

THE AREA UNDER THE GRAPH

Answer 2

The slope of a velocity graph represents the acceleration of the object. So, the value of the slope at a particular time represents the acceleration of the object at that instant.

Describing motion - AQA
The movement of objects can be described using motion graphs and numerical values. These are both used to help in the design of faster and more efficient vehicles.
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Distance-time graphs

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.

Example

Calculate the speed of the object represented by the green line in the graph, from 0 to 4 s.

change in distance = (8 - 0) = 8 m

change in time = (4 - 0) = 4 s