Motion in a Straight Line
NIOS · Class 12 · Physics
Quick revision notes for Motion in a Straight Line — NIOS Class 12 Physics. Key concepts, formulas, and definitions for last-minute revision.
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Distance, Displacement, Speed, and Velocity
- Distance is the total length of the path covered by a body. It is a scalar quantity (only magnitude, no direction).
- Displacement is the shortest distance between the initial and final positions of a body, measured in a specific direction. It is a vector quantity.
- For 1D motion, the direction of displacement, velocity, and acceleration is indicated using + and − signs. No vector notation is needed.
Position-Time Graphs
- A position-time (x-t) graph plots the position of a body on the y-axis against time on the x-axis.
- For a body at rest: the graph is a horizontal straight line parallel to the time axis (slope = 0, velocity = 0).
- For uniform motion (constant velocity): the graph is a straight line inclined to the time axis. Greater slope = greater velocity.
Velocity-Time Graphs
- A velocity-time (v-t) graph plots the velocity of a body on the y-axis against time on the x-axis.
- For uniform motion (zero acceleration): v-t graph is a straight horizontal line parallel to the time axis.
- For uniform acceleration (constant acceleration): v-t graph is a straight line inclined to the time axis. Positive slope = acceleration; negative slope = deceleration.
Equations of Motion for Uniform Acceleration
- The three equations of motion are valid ONLY for constant (uniform) acceleration along a straight line.
- Standard notation: v₀ = initial velocity (at t=0), v = final velocity (at time t), a = constant acceleration, x₀ = initial position, x = final position, s = (x − x₀) = displacement.
- First equation: v = v₀ + at — relates velocity to time. Derived from definition of acceleration.
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