The position of a particle is moving along the x-axis depen…

Physics Motion in a Straight Line Mix Comprehension (MCQ)

The position of a particle is moving along the x-axis depends on the time according to the equation :

x = (6 m/s 2 )t 2 – (1 m/s 3 )t 3 Where x is in metre and t in seconds.

(i) Time at which velocity of the particle is maximum along positive direction of x-axis is –

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Ans.

(i)

Sol. x = 6t 2 – t 3 = v = 12 t – 3t

2 = = a= 12 – 6t

= 0 for v to be maximum

12 – 6 t ⇒ t = 2 s

(ii)

Sol. (position of particle)

x 3 = 25 m (at t = 3 s)

x 4 = 32 m (at t = 4 s)

x 5 = 27 m (at t = 5 s)

(iii)

Sol. x 0 = 0, x 4 = 32 m, x 6 = 0

Total distance travelled = 32 m + 32 m

= 64 m

Average speed =

= = m/s

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