Test: Motion- 2 - UPSC

The equations of motion are applicable only when the body moves with uniform acceleration. A body under constant acceleration is uniformly accelerated motion.

• Displacement is the shortest straight line distance between the initial and final position. This means that there doesn't exist any other path which is shorter than it.
• If the object travels with that shortest straight-line path then the magnitude of distance and displacement would be the same.
• If the object doesn't do so and travels with any other paths then as the other path is not the shortest path, so it will be larger than that of displacement. So if the object travels with this path then the magnitude of displacement will be smaller than the distance.

Thus, the magnitude of displacement may be equal to or smaller than that of distance.

v = u + at
or = 2m/s²
s = ut + 
= 100 m

• Retardation, actually, is acceleration that acts opposite to the direction of motion of an object.
• So, under retardation, an object accelerates away from its direction of motion, so its velocity in that direction decreases.
• The SI unit of retardation, which is just an oppositely directed acceleration, is m/s².

It is horizontal so, angle is zero and also acceleration is zero. Hence constant velocity.

Average velocity of an object is equal to its final velocity plus initial velocity, divided by 2.
Therefore, the answer is, (u + v) / 2 

In figure A, we can see that the object continues to remain at a fixed place while the time keeps running. So, the object is at rest, because the object does not change its position with time.

"Displacement" is the quantity that is measured by the area occupied under the velocity-time graph. Moving something or someone from its place or position is called displacement.

The slope of a velocity-time graph represents the acceleration of the object. So, the value of the slope at a particular time represents the acceleration of the object at that instant.