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General Science›Ch 1: Physics›Motion

1.2

Motion

5 min

Master distance, displacement, speed, velocity, and equations of motion for competitive exams.

1

Golden Rule

Motion is the change in position of an object with time. Distance is a scalar quantity representing total path length, whereas displacement is a vector quantity representing the shortest straight-line distance between initial and final positions.

2

Why This Matters

  • Direct numerical questions on speed, velocity, and acceleration appear in SSC and Railways.
  • Concept clarity on displacement prevents negative marking in conceptual physics items.
  • Equations of motion are essential for solving projectile and kinematics problems.

Memory Hooks

  • Distance is 'Dr. Path' (Total actual path covered), Displacement is 'Shortest Route'.
  • Speed has Scalar and Scale; Velocity has Vector and Direction.
  • Equations of motion: v = u + at, s = ut + ½at², v² = u² + 2as.
3

Comparison Matrix

ParameterDistanceDisplacement
TypeScalarVector
Can it be zero?Never (if moving)Yes (can be zero)
Magnitude relationAlways >= DisplacementAlways <= Distance
4

Visual Glossary

Speed

(Rate of distance)

Speed: Rate of distance

Rate of distance

A car moving at 60 km/h.

Velocity

(Speed with direction)

Velocity: Speed with direction

Speed with direction

Train moving North at 80 km/h.

Acceleration

(Rate of velocity change)

Acceleration: Rate of velocity change

Rate of velocity change

Car speeding up from rest.

Retardation

(Negative acceleration)

Retardation: Negative acceleration

Negative acceleration

Applying brakes on a cycle.

5

Exam Traps & Pitfalls

Displacement is always > distanceDistance is always >= displacement

Displacement can never exceed distance in magnitude; it is at most equal to distance.

Zero velocity means zero accelerationVelocity can be zero while acceleration is non-zero

At the highest point of a vertical throw, velocity is zero but acceleration due to gravity is 9.8 m/s².

Speed can be negativeSpeed is always positive or zero

Speed is a scalar quantity and cannot be negative, whereas velocity can be negative.

6

Exam Practice Quiz

Q1.Which of the following physical quantities can be zero when an object is in motion?

Q2.A body starts from rest and moves with a uniform acceleration of 2 m/s² for 5 seconds. Find the distance traveled.

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