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Class 12 · Bangla Version · Physics

Measurement, motion and forces

Use units, motion graphs and resultant forces to solve a mechanics problem.

Shared cross-level core and stretch unit. Start with the core questions, then use the stretch example for deeper work. The same unit is available in related class and board pathways; it is not a full grade-specific or examination-specification course. A teacher should select the appropriate depth and further topics.

Learn the idea

Speed is distance per time. Velocity includes direction; acceleration is change in velocity per time. The gradient of a displacement-time graph is velocity. The area under a velocity-time graph gives displacement with signs. Newton’s F = ma uses resultant force and inertial mass.

Worked example

A trolley changes from 2 to 10 m/s in 4 s at constant acceleration: a = (10−2)/4 = 2 m/s². For mass 3 kg, resultant F = 6 N. Its displacement is average velocity × time = 6 × 4 = 24 m.

  1. Convert to consistent units.
  2. Identify whether acceleration is constant.
  3. Check directions, equations and units.

Stretch example

In uniform circular motion, radial acceleration v²/r points toward the centre even though speed is constant. At v = 6 m/s and r = 3 m, a = 12 m/s².

Your written practice

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20

Divide by 3.6.

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3

(15−0)/5.

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8

F = 2 × 4.

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Direction can change, as in uniform circular motion.

Velocity includes direction.

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Displacement in the chosen negative direction.

Explain the sign convention.

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24

F = mv²/r = 2 × 36/3.

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The area is a trapezium with parallel sides u and v and width t, giving average velocity times time.

State constant acceleration and use the graph area.

Motion solution

Create and solve a two-stage straight-line motion problem.

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