Displacement time equation of a particle moving along x-axi…

Physics Motion in a Straight Line Mix MCQ (Single Correct)

Displacement time equation of a particle moving along x-axis is

x = 20 + t 3 – 12t (SI Units)

Find, position and velocity of particle at time t = 0.

State whether the motion is uniformly accelerated or not.

Find position of particle when velocity of particle is zero.

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(i) Given, displacement-time equation of a particle P

Velocity of particle at time can be obtained by differentiating Eq. (i) w.r.t. time i.e.,

At
(ii) Differentiating Eq. (ii) w.r.t. time t , we get the acceleration,

As acceleration is a function of time, the motion is non-uniformly accelerated.
(iii) Substituting in Eq. (ii), we have

Positive value of comes out to be from this equation. Substituting in Eq.
(i), we have,

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