A particle is projected vertically upwards with a velocity u and from a point O . When it returns to the point of projection, which of the following is incorrect ?

Question

A particle is projected vertically upwards with a velocity u and from a point O . When it returns to the point of projection, which of the following is incorrect ?, average velocity is zero, displacement is zero, average speed is u, average speed is u 2

MARKS App · Accepted Answer

Total displacement is 0 as the particle returns to the original position, thus the average velocity is zero. Total distance travelled is 2 s and total time taken is 2 t 0 2 = u 2 - 2 gs ∴ s = u 2 2 g Also 0 = u - g t ⇒ t = u / g ∴ 2 t = 2 u g speed = u 2 g / 2 u g = u 2 ​. Hence only option 3 has incorrect option and hence the option to be selected is 3.

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