Given below are the equations of motion of four particles A, B, C and D
${x}_{A} = 6t - 3; {x}_{B} = 4{t}^{2} - 2t + 3; {x}_{C} = 3{t}^{3} - 2{t}^{2} + t - 7;$ ${x}_{D} = 7cos {60}^{o} - 3sin {30}^{o}$

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Given below are the equations of motion of four particles A, B, C and D

{x}_{A} = 6t - 3; {x}_{B} = 4{t}^{2} - 2t + 3; {x}_{C} = 3{t}^{3} - 2{t}^{2} + t - 7;

{x}_{D} = 7cos {60}^{o} - 3sin {30}^{o}

Quantrex Academy · Accepted Answer

Correct answer: B. B

x _ A = 6t - 3 v _ A = (d)/(dt)(6t - 3) = 6 Particle A moves with constant velocity. v _ B = (d)/(dt)(4 t ^ 2 - 2t + 3) = 8t - 2, a _ B = (d)/(dt)(8t - 2) = 8 Particle B moves with constant acceleration v _ C = (d)/(dt)(3 t ^ 3 - 2 t ^ 2 + t - 7) = 9 t ^ 2 - 4t + 1 a _ C = 18t - 4 So, the particle moves with variable acceleration. x _ D = 7cos 60 ^ o - 3sin 30 ^ o Since x _ D does not depend upon time therefore particle is at rest.

Given below are the equations of motion of four particles A, B, C...

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