Motion Test - 8

The first equation of motion is v = u + at, where v is the final velocity and u is the initial velocity of the body and a is uniform acceleration.
First equation of motion gives velocity acquired by body at any time t.
So, in first equation of motion displacement is not present.

The motion of the athletes in a straight line and uniform circular motion both are the case of accelerated motion. The speed of the athletes goes on incresing.
The velocity of a body in uniform circular motion changes due to continuous change in direction,therefore,the motion along a circular path is said to be accelerated.

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.

When the slope of distance-time graph is a straight line parallel to time axis, the object is moving with uniform motion. As in uniform motion, the distance time graph would be a straight line, because the equal distance is covered in equal units of time.

When a body moves in a uniform circular motion then the body has an accelerated motion. It is because of change in velocity due to continuous change in direction of motion.

360° = 2π radian
⇒ 360^o/2 = π radian
⇒180 = π radian

Body moves with constant speed it means that tangential acceleration = 0 and only centripetal acceleration exists whose directions is always towards the center or inwards.