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Motion in a Straight Line · Question 43

AIPMT 2003MCQEasy📈 Topic in 38% papers+4−1
1

If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is

  1. ut
  2. 12gt2
  3. ut - 12gt2
  4. (u + gt)t.

Answer

(2) 12gt2

Solution

At the highest point the velocity is zero.

∵ The upward motion is the time-reverse of a free fall from the highest point, the distance covered in the last t seconds of ascent equals the distance fallen from rest in the first t seconds of descent.

⇒ s = 0 t + 12gt2

∴ s = 12gt2

Answer: (2)

AIPMT 2003

Keep practising — Motion in a Straight Line

2

A particle is thrown vertically upward. Its velocity at half of the height is 10 m/s, then the maximum height attained by it is (g = 10 m/s2)

  1. 8 m
  2. 20 m
  3. 10 m
  4. 16 m
AIPMT 2001
3

Motion of a particle is given by equation s = (3t3 + 7t2 + 14t + 8) m. The value of acceleration of the particle at t = 1 s is

  1. 10 m/s2
  2. 32 m/s2
  3. 23 m/s2
  4. 16 m/s2
AIPMT 2000

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