Question

A particle is moving along x- axis with a uniform acceleration.
a) Draw the position-time graph for its motion.
b) obtain the expression for the displacement by drawing velocity-time graph​

Answer 1

Explanation:

The slope of a position-time graph represents velocity. The steeper the slope is, the faster the motion is changing. Average velocity can be calculated from a position-time graph as the change in position divided by the corresponding change in time.The changing velocity of the sprinter—or of any other moving person or object—can be represented by a velocity-time graph like the one in the Figure below for the sprinter. A velocity-time graph shows how velocity changes over time. The sprinter’s velocity increases for the first 4 seconds of the race, it remains constant for the next 3 seconds, and it decreases during the last 3 seconds after she crosses the finish line.

Velocity versus time graph for a sprinting race

Acceleration and Slope

In a velocity-time graph, acceleration is represented by the slope, or steepness, of the graph line. If the line slopes upward, like the line between 0 and 4 seconds in the Figure above, velocity is increasing, so acceleration is positive. If the line is horizontal, as it is between 4 and 7 seconds, velocity is constant and acceleration is zero. If the line slopes downward, like the line between 7 and 10 seconds, velocity is decreasing and acceleration is negative.