Question

the position time graph for a body moving along straight line betweenO and A is shown in figure during its motion how many times cbody comes at rest

Answer 1

Given data,

1. A body moves from point $O$ to point $A$ in a straight path

2. When the body comes to rest, its velocity is zero.

3. The rate of change of position $\frac{dx}{dt}$ determines the body's velocity.

4. Its mathematical meaning is the slope of the position and time graph.

5. Draw a tangent from points B and C on the curve; the slope at these points must be 0.

6. When the tangent to the graph is parallel to the x-axis, the slope of the graph is zero.

7. Hence the tangent to the graph is parallel to the horizontal axis at instances B and C.

8. The slope of 0 indicates that the body is at rest.

Hence, the body comes to rest twice.