Question

Plot the position-time graph of the following: a) Two objects moving with equal velocities b) Two objects with unequal velocities, showing the time of meeting. c) Two objects with velocities in opposite directions, showing the time of meeting.

Answer 1

Please follow through the picture above and you will find your answer

Answer 2

The position-time graph.

• This is a graph in which the position of a particle is plotted against the y-axis and time along the x-axis this is called a position-time graph.
• The principle is that the slope of the line on a position-time graph reveals useful information about the velocity of the object.
• The velocity can be either constant velocity motion or accelerated motion.

a) two objects moving with equal velocities:

• In this graph, the velocity of two objects runs parallel to each other and is increasing at a constant rate.
• The graph is depicted in image 1

b) Two objects with unequal velocities, showing the time of the meeting.

• Since the objects are moving with unequal velocity therefore they won't run parallel to each other.
• The velocity graph intersects at a position at a particular time.
• The graph is depicted in picture 2.

c) Two objects with velocities in opposite directions, showing the time of the meeting.

• In this case, the two objects have velocity in the opposite direction, therefore, one of the velocities will be having a negative slope and the other will be having a positive slope and they even interact at a position at a particular time.
• The graph is depicted in picture 3.