Study of motion_______________________________________________________________________________________________________________________________________________________________________________________________________________________13. The slope of a position-time graph
Line is sleeper than before. It rises 20 m on distance scale for every 1 s on time scale. Again, the same distance travelled in the same time.Speed is constant, and greater than in the first example. If you imagined these lines to be hills, you would say that the line from graph 2 is sleeper than the line from graph 1. Line 2 has a greater slope than line 1. The slope of a position-time graph gives information about an object's velocity.For example, - a small slope means a small velocity- a negative slope means a negative velocity- a constant slope (straight line) means a constant velocity- a changing slope (curved line) means a changing velocity. Thus, the shape of the line on the graph (straight, curving, steeply sloped, mildly sloped, etc.) is descriptive of the object's motion.Even more, the slope of the line on a position-time graph is equal to the velocity of the object. - If the object is moving with a velocity of +4 m/s, then the slope of the line will be +4 m/s. - If the object is moving with a velocity of -8 m/s, then the slope of the line will be -8 m/s. - If the object has a velocity of 0 m/s, then the slope of the line will be 0 m/s.