The velocity-time graph of a particle in one-dimensional motion is sho

1.	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) vAverage = (x(t2) – x(t1)) / (t2 – t1)(d) aAverage = (v(t2) – v(t1)) / (t2 – t1)(e) x(t2) = x(t1) + vAverage(t2 – t1) + ()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 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.

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) vAverage = (x(t2) – x(t1)) / (t2 – t1)(d) aAverage = (v(t2) – v(t1)) / (t2 – t1)(e) x(t2) = x(t1) + vAverage(t2 – t1) + ()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 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)

(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.