Motion in Straight Line

Physics Part I

Physics

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The speed-time graph of a particle moving along a fixed direction is shown in Fig. 3.28. Obtain the distance traversed by the particle between (a) *t* = 0 s to 10 s, (b) *t* = 2 s to 6 s.

What is the average speed of the particle over the intervals in (a) and (b)?

What is the average speed of the particle over the intervals in (a) and (b)?

a)

Distance travelled by the particle = Area under the given graph.

= (1/2) × (10 - 0) × (12 - 0)

= 60 m

b)

Let

Total distance (

Let u

The particle undergoes uniform acceleration in the first 5 seconds.

Therefore, using first equation of motion v = u+at, we have

12 = 0 +

i.e.,

= 0 + 2.4 × 2

= 4.8 m/s

Distance travelled by the particle between time 2 s and 5 s i.e., in 3 s

= 4.8 × 3 + (1/2) × 2.4 × (3)

= 25.2 m ...(ii)

Let

Using first equation of motion,

v = u + at

0 = 12 +

Therefore,

Distance travelled by the particle in 1s (i.e., between

s

= 12 - 1.2 = 10.8 m ...(iii)

Now, from equations (i), (ii) and (iii), we have

∴ Average speed = 36 / 4 = 9 m/s

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Is absolute rest or absolute motion possible?

Absolute rest and absolute motion is not possible because there is no point in the universe which is at rest and can be taken as point of reference. The planet Earth is in continuous motion.

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Can a body be always at rest in some frame?

Yes, a body is always at rest in a frame which is fixed with the body itself.

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What is motion?

When an object changes it's position with time, with respect to it's surroundings, the object is said to be in motion.

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What is the most essential thing to study the motion of a body?

The most essential thing to study the motion is reference frame. Rest and motion are relative terms. It means that an object in one situation can be in rest but in another situation, the same object will be in motion.

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