A body starts slipping down an incline and moves half meter in half second. How long will it take it to move the next half meter?
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Distance to be covered = 1/2 m = 0.5 m.
Time = 1/2 seconds = 0.5 seconds.
Since, S = ut + 1/2 at²
∴ S = 1/2 × at²
⇒ 0.5 = 1/2 × a × (0.25)
⇒ a = 4 m/s².
∴ Total distance = 0.5 + 0.5 = 1 m.
∴ 1 = 1/2 × 4 × t²
∴ t² = 0.5
⇒ t = 0.71 seconds.
∴ Time taken in next half meter = 0.71 - 0.5
= 0.21 seconds.
Hope it helps.
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