### KINEMATICS: UNDERSTANDING THE MOTION AND DYNAMICS OF OBJECTS

### Concept map

A Concept map is a colorful, visual form of representing key concepts covered in a chapter . It can be used as an effective overview , learning and revision tool.

At its heart is a central topic of the chapter . This is then explored by means of branches representing main ideas, which all connect to this central idea.

Concept maps are metacognitive tools that give students awareness towards the process of learning and allow the representation of knowledge structures in thematic fields

1) In the figure shown, ADB is a semi circular track of radius = 1m. When a body travels along A → O→ B → C, it suffers ----------disp- -lacement (’C’ is the midpoint of BD)

2) A body starts from rest and moving along a straight line covers a very very large distance with uniform acceleration (a) in time (t). The time taken to cover last metre of its journey is -------

3) A particle is projected vertically upwards and it attains a maximum height (H). If the ratio of times to attain a height h is 1/3, then h = --

4) Figure shows a particle starting from point A, travelling up to B with speed 3 V, then up to C with 2 V and finally back to A with 3 V. It’s average speed is = ----------

5) Two beads start sliding along two wires (PQ, PR) arranged as ch- -ords of a vertical circular ring of radius ‘R’. They reach other ends of the wires in times t1, t2 with velocities v1, v2. then t1 / t2 = ---------- V1 / V2 = ----------

6) The position of a particle moving along x-axis depends on time (t) on, x = (3t2 -2t3) mt. Plot v - t graph and find distance, displacement of the particle during, t = 0 to 4 sec.

7) A particle starts with velocity V0. It’s acceleration (a) and velocity (v) are related as a = - kv [k → constant]. Express displacement as a function of time (t)

8) A body starts from origin and travels along x-axis such that the vel- -ocity (V) at any time (t) is, V = (4t3 -2t) m/sec. What is its accelera- -tion when it is 2 mt away from the origin ?

9) Two bodies are at points A,B on straight line are 4.5m apart. The body from A is moving towards B at a constant speed 2 m/sec, and the body from B moves perpendicular to AB at 1 m/sec. Find the least seperation between them.

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