If the position- time graph is a straight line parallel to the time axisa)The velocity is zerob)The velocity is decreasingc)The velocity is increasingd)The velocity is constant but non zeroCorrect answer is option 'A'. Can you explain this answer?

Question

Answer

Velocity is defined is v = dx/dt . as there is no change in position so dx = 0 and ultimately velocity is zero

Answer

X-t graph of horizontal straight line parallel to time axis represents that the position of the body does not changes with the passage of time. So it represents the rest state of motion. But the state of rest and moving depends upon the reference of viewer. If you are standing at a bus stop and a bus in front of you is moving with 40 km/h then the bus is changing position with time for you. But for a passenger in the bus, it does not move and for him position-time graph of bus will be a horizontal line parallel to time axis. by using v=dx/dtso the velocity could be zero . hopes it help you

Answer

The position-time graph represents how an object's position changes over time. If the graph is a straight line parallel to the time axis, it means that the object is not changing its position. In other words, the object is not moving.

Velocity is defined as the rate at which an object's position changes with respect to time. It is a vector quantity, meaning it has both magnitude and direction. When the object is not moving, its position remains constant, and therefore, the change in position over time is zero. Hence, the velocity is zero.

Explanation:
1. Position-Time Graph: A position-time graph shows the position of an object on the y-axis and time on the x-axis. If the graph is a straight line parallel to the time axis, it means that the object's position is not changing over time.
2. Velocity Definition: Velocity is the rate at which an object's position changes with respect to time. It is calculated by dividing the change in position (displacement) by the change in time.
3. Zero Velocity: When the position-time graph is a straight line parallel to the time axis, it indicates that the object is not moving. Since there is no change in position, the displacement is zero. Therefore, the velocity is also zero.
4. Non-Zero Constant Velocity: If the position-time graph is a straight line but not parallel to the time axis, it indicates that the object is moving at a constant velocity. In this case, the slope of the graph represents the velocity. If the slope is positive, the velocity is positive (moving in the positive direction), and if the slope is negative, the velocity is negative (moving in the negative direction).
5. Velocity Decreasing and Increasing: If the position-time graph is curved, it indicates that the object's velocity is changing. If the curve is concave upward, it means the velocity is increasing. If the curve is concave downward, it means the velocity is decreasing.
6. Conclusion: When the position-time graph is a straight line parallel to the time axis, the object is not moving, and the velocity is zero. Therefore, the correct answer is option 'A'.

Answer

A

Answer

D

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