Explanation
As motion is governed by force of gravity and acceleration due to gravity (g) is independent of mass of object.
When a body falling freely, only gravitational force acts on it in vertically downward direction. Due to this downward acceleration the velocity of a body increases and will be maximum when the body touches the ground.
As displacement is either smaller or equal to distance but never be greater than distance.
Since velocity is a vector quantity, hence as its direction changes keeping magnitude constant, velocity is said to be changed. But for constant speed in equal time interval distance travelled should be equal.
Speedometer measures instantaneous speed of automobile.
Negative slope of position-time graph represents that the body is moving towards the negative direction and if the slope of the graph decrease with time then it represents the decrease in speed i.e., retardation in motion.
A body having positive acceleration can be associated with slowing down, as time rate of change of velocity decrease, but velocity increases with time, from graph it is clear that slope with time axis decreases, but velocity increases with time.
A body having negative acceleration can be associated with a speeding up, if object moves along negative X-direction with increasing speed.
Motion of rocket is based on action reaction phenomena and is governed by rate of fuel burning causing the change in momentum of ejected gas.
If the position-time graph of a body moving uniformly is a straight line parallel to position axis, it means that the position of body is changing at constant time. The statement is abrupt and shows that the velocity of body is infinite.
Position-time graph for a stationary object is a straight line parallel to time axis showing that no change in position with time.
Since slope of displacement-time graph measures velocity of an object.
A body has no relative motion with respect to itself. Hence, if a frame of reference of the body is fixed, then the body will be always at relative rest in this frame of reference.
The displacement is the shortest distance between initial and final position. When final position of a body coincides with its initial position, displacement is zero, but the distance travelled is not zero.
Equation of motion can be applied if the acceleration is in opposite direction to that of velocity and uniform motion mean the acceleration is zero.
As velocity is a vector quantity, its value changes with change in direction. Therefore, when a bus takes a turn from north to east its velocity will also change.
When two bodies are moving in opposite direction, relative velocity between them is equal to sum of the velocity of bodies. but if the bodies are moving in same direction their relative velocity is equal to difference in velocity of the bodies.
According to definition, displacement = Velocity x Time. Since, displacement is a vector quantity so its value is equal to the vector sum of the area under velocity-time graph.
In uniform motion the object moves with uniform velocity, the magnitude of its velocity at different instant i.e., at t = 0, t = 1sec, t = 2sec, will always be constant. Thus, velocity-time graph for an object in uniform motion along a straight path is a straight line parallel to time axis.
The uniform motion of a body means that the body is moving with constant velocity, but if the direction of motion is changing (such as in uniform circular motion), its velocity changes and thus acceleration is produced in uniform motion.
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