Motion Test - 10

In a velocity-time graph,the area enclosed by the velocity-time curve and the time-axis gives us the displacement of the body.
In a velocity time graph:
1) The slope of the graph gives the acceleration of the body. Finding the slope of the graph gives its acceleration.
2) The area under the velocity time graph gives the displacement of the object.

If velocity is constant then the speed has to be constant. A body can have a constant speed but a changing velocity because the direction can change while the speed is constant. (A car goes 50 mph around a roundabout). However, a body cannot have a constant velocity with a changing speed.

No the object can’t move with constant velocity in accelerated motion. A body moving with a constant velocity in an accelerated motion is possible in a uniform circular motion.
When a body tied with rope moves in a vertical circular path, at the bottom most point velocity is horizontal and acceleration is in the vertical direction. So,A body moving horizontally with an acceleration in vertical direction is possible.
When an object is thrown in upward direction, at the maximum height the velocity of the object becomes zero but still in that condition a constant acceleration due to gravity is working. So, a body moving with constant acceleration but with zero velocity is possible.
In velocity-time graphs; the regions between the line and the time-axis represent the displacement during the stated time interval.

For non-uniform motion the displacement-time graph of a body is a curved line.This curved line proves that its velocity is non-uniform.