Class 11 Physics simulations · Motion in a Plane

Six particles chasing on a hexagon (HC Verma)

Six particles at the corners of a regular hexagon of side a each move at constant speed v toward the particle at the next corner. Find the time they take to meet. Source: Concept of Physics, H. C. Verma.

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What to notice

In a regular hexagon R = a, and the speed toward the centre is v/2, so the particles meet after T = a ÷ (v/2) = 2a/v.

Key relation

T = 2a / v (speed toward the centre = v sin 30° = v/2)

Try this

Set a = 4 m and v = 2 m/s. Check T = 2a/v = 4 s, then double v.

What you can change

• Side a: 1 to 10 m
• Speed v: 0.5 to 5 m/s

More in Motion in a Plane

• Projectile with air resistance
• Uniform circular motion
• Conical pendulum
• Horizontal projectile
• Projectile motion
• Projectile landing on a slope
• Three particles chasing each other (HC Verma)
• Boat crossing a river
• Vector addition: the parallelogram

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