Question

1) Rephrase the objective. (limit 2 sentences). Give a brief explanation of the concepts of linear motion, its characteristics and relationship between position, velocity and time for constant velocity and uniformly accelerated motion. (limit 8-10 sentences).

Answer 1

Answer:

• The linear motion is the motion in one dimension or in a straight line.

For a linear motion the magnitude of, distance is equal to displacement, speed is equal to the velocity because the body moves only in one direction.

For constant velocity motion:

There is no change in velocity of the body with respect to time and hence we have zero acceleration of the moving body.

The relation is given as,

$x=v.t$

where;

$x=$ position of the object after time t, moving with uniform velocity v.

For a motion with uniform acceleration:

In this case the acceleration of the motion remains same irrespective of the position of the object. So, the rate of change in velocity is same throughout all the points of motion of the object.

The relation is given as:

$s=ut+\frac{1}{2}a.t^2$

where:

$s=$ displacement of the body moving with initial velocity u, having a uniform acceleration a, over a time span t.

Answer 2

Answer:

When an object moves in a straight line, it is said to be in linear motion. By Newton's first law of motion, a body tends to be in rest or motion in a straight line until a net non-zero force acts on it.

Rate of change of position with respect to time is known as velocity. Uniformly accelerated motion refers to the motion where the rate of change of velocity with respect to time is constant.

Kinematic equations can be used to measure different aspects of a linear motion:

v = u + a t

s = u t + 0.5 a t²

v²= u² + 2 a s

where, u is initial velocity, v is final velocity, a is acceleration, t is time and s is displacement.