Motion in a Straight Line
NIOS · Class 12 · Physics
All formulas from Motion in a Straight Line in NIOS Class 12 Physics. Key equations, constants, and identities for board exam preparation.
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Distance, Displacement, Speed and Velocity
Average Velocity (v̄) = Δx / Δt = (x₂ - x₁) / (t₂ - t₁)
Average Speed = Total Distance Travelled / Total Time Taken
Relative Velocity of B w.r.t. A: v_BA = v_B - v_A
Acceleration and Instantaneous Quantities
Average Acceleration (ā) = Δv / Δt = (v₂ - v₁) / (t₂ - t₁)
Instantaneous Velocity: v = lim(Δt→0) (Δx/Δt) = dx/dt
Instantaneous Acceleration: a = lim(Δt→0) (Δv/Δt) = dv/dt
Position-Time (x-t) Graphs
Average Velocity = Slope of x-t graph = Δx/Δt = BC/AC = tan θ
Velocity-Time (v-t) Graphs
Acceleration = Slope of v-t graph = Δv/Δt = MP/LP = tan θ
Distance = Area under v-t graph
Area of trapezium = (1/2)(v₁ + v₂)(t₂ - t₁)
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