The displacement (x) of a particle depends on time (t) as :…

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

The displacement (x) of a particle depends on time (t) as : x = α t 2 – β t 3

The particle will return to its starting point after time α / β

The particle will come to rest after time 2 α /3 β

The initial velocity of the particle was zero but its initial acceleration was not zero.

No net force will act on the particle at t = α /3 β

Text Solution

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The correct answer is:

CHECK THE SOLUTION

(a, b, c, d) x = α t 2 – β t 3

for x = 0, α t 2 – β t 3 = 0

∴ t = .

= 2 α t – 3 β t 2

Particle at rest v = 0

2 α t – 3 β t 2 = 0

t =

= 2 α – 6 β t

at t = 0 a = 2 α , at t = 0, v = 0

for no net force, (a = 0)

2 α – 6 β t = 0, t = .

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