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The velocity-time graph of a particle in one-dimensional motion is shown in Which of the following formulae are correct for describing the motion of the particle over the time-interval t (a) x(t₂ ) = x(t₁) + v (t1) (t₂ – t₁) +(½) a (t₂ – t₁)₂ (b) v(t₂ ) = v(t₁) + a (t₂ – t₁) (c) vaverage = (x(t₂) – x(t1))/(t₂ – t₁) (d) aaverage = (v(t₂) – v(t1))/(t₂ – t₁) (e) x(t₂ ) = x(t₁) + vaverage (t₂ – t₁) + (½) aaverage (t₂ – t₁)₂ (f) x(t₂) – x(t₁) = area under the v-t curve bounded by the t-axis and the dotted line shown. |
| Answer» The velocity-time graph of a particle in one-dimensional motion is shown in Which of the following formulae are correct for describing the motion of the particle over the time-interval t (a) x(t₂ ) = x(t₁) + v (t1) (t₂ – t₁) +(½) a (t₂ – t₁)₂ (b) v(t₂ ) = v(t₁) + a (t₂ – t₁) (c) vaverage = (x(t₂) – x(t1))/(t₂ – t₁) (d) aaverage = (v(t₂) – v(t1))/(t₂ – t₁) (e) x(t₂ ) = x(t₁) + vaverage (t₂ – t₁) + (½) aaverage (t₂ – t₁)₂ (f) x(t₂) – x(t₁) = area under the v-t curve bounded by the t-axis and the dotted line shown. | |