Question

A particle moves along straight line for 10 second with uniform acceleration to metre centimetre per second then for next in second who should acceleration for metre per second the total displacement of particle would be

Answer 1

Answer:

A particle moves along straight line for a 10sec with uniform acceleration 2 m/s².

initial velocity of particle is zero.

use formula , S = ut + 1/2 at²

here, u = 0, a = 2m/s² and t = 10sec

so, S = 0 + 1/2 × 2 × 10² = 100m

velocity after 10 sec :

use formula , v = u + at

v = 0 + 2 × 10 = 20 m/s

now, particle moves next 10sec with acceleration 4 m/s² .

so, initial velocity in this case , u = 20m/s

a = 4 m/s² and t = 10 sec

use formula, S = ut + 1/2 at²

S = 20 × 10 + 1/2 × 4 × 10²

= 200 + 200 = 400 m

hence, total distance of particle = 100m + 400m = 500m

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