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Motion in A Straight Line question

2003 · Q175
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Motion in A Straight Line question

2003 · Q175

NEETPhysicsMotion in A Straight LineMCQ+4 / −1
If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is
  1. A
    ut
  2. B
    12{1 \over 2}21​ gt2
  3. C
    ut −-− 12{1 \over 2}21​ gt2
  4. D
    (u + gt) t.
View written solutionFree

Correct answer: B

Let the time taken by the ball to reach the top most point T.

∴\therefore∴ v = u - gT

v = 0 at top most point.

T = ug{u \over g}gu​

Velocity of the ball after (T - t) second

v = u - g(T - t)

= u - gT + gt = u - gug{u \over g}gu​ + gt

∴\therefore∴ v = gt

Distance covered during the last t seconds of its ascent is

s = (gt)t - 12gt2{1 \over 2}g{t^2}21​gt2 = 12gt2{1 \over 2}g{t^2}21​gt2

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