The velocity-time graph of a particle in one-dimensional motion is shown in Fig- 3-29 -Which of the following formulae are correct for describing the motion of the particle over the time-interval t2 to t1 -a xt2-xt1-vt1t2-t1-1-2 at2-t12b vt2-vt1-at2-t1c vAverage -xt2-xt1 -t2-t1d aAverage -vt2-vt1 -t2-t1e xt2-xt1-vAverage t 2- t 1-1-2 aAverage t 2- t 12f xt2-xt1- area under the v-t curve bounded by the t-axis and the dotted line shown-

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Distance Time Graph

The velocity-...

Question

The velocity-time graph of a particle in one-dimensional motion is shown in Fig. 3.29:

Which of the following formulae are correct for describing the motion of the particle over the time-interval t₂ to t₁?

(a) x(t₂) = x(t₁) + v(t₁)(t₂–t₁) + ()a(t₂–t₁)²

(b) v(t₂)= v(t₁) + a(t₂–t₁)

(c) v_Average = (x(t₂) – x(t₁)) / (t₂ – t₁)

(d) a_Average = (v(t₂) – v(t₁)) / (t₂ – t₁)

(e) x(t₂) = x(t₁) + v_Average(t₂ – t₁) + ()a_Average(t₂ – t₁)²

(f) x(t₂) – x(t₁) = area under the v–t curve bounded by the t-axis and the dotted line shown.

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