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Lesson: The Average Velocity within nth Second

Sample Question Videos

Worksheet • 15 Questions • 1 Video

Q1:

A body was uniformly accelerating in a straight line such that it covered 72 m in the first 3 seconds and 52 m in the next 4 seconds. Find its acceleration π‘Ž and its initial velocity 𝑣 0 .

  • A π‘Ž = βˆ’ 2 2 7 / m s 2 , 𝑣 = 2 0 1 7 / 0 m s
  • B π‘Ž = 4 / m s 2 , 𝑣 = 1 8 / 0 m s
  • C π‘Ž = 4 7 / m s 2 , 𝑣 = 1 6 2 7 / 0 m s
  • D π‘Ž = βˆ’ 2 2 / m s 2 , 𝑣 = 5 7 / 0 m s

Q2:

A particle is moving in a straight line accelerating uniformly at 1 m/s2. Given that its initial velocity 𝑣 0 was 21 m/s, find its displacement 𝑠 during the time interval between 𝑑 = 7 and 𝑑 = 1 3 s e c o n d s .

  • A 186 m
  • B 127.5 m
  • C 80.75 m
  • D 246 m

Q3:

A body, moving in a straight line, accelerated uniformly such that it covered 35.5 m in the second and 53.5 m in the one. Find the acceleration of the body and its initial velocity .

  • A ,
  • B ,
  • C ,
  • D ,

Q4:

A particle is moving in a straight line with an initial speed and a uniform acceleration . Express its average velocity during the , , and seconds in terms of and .

  • A
  • B
  • C
  • D

Q5:

A particle started moving in a straight line from rest. Accelerating uniformly, it covered 135 cm in the 2 n d , 3 r d , and 4 t h seconds. Find its acceleration π‘Ž and the distance 𝑑 required for the particle to reach a velocity of 45 cm/s.

  • A π‘Ž = 1 8 / c m s 2 , 𝑑 = 5 6 . 2 5 c m
  • B π‘Ž = 2 2 . 5 / c m s 2 , 𝑑 = 4 5 c m
  • C π‘Ž = 3 6 / c m s 2 , 𝑑 = 2 8 . 1 2 c m
  • D π‘Ž = 1 5 / c m s 2 , 𝑑 = 1 3 5 c m

Q6:

A particle was moving in a straight line with a constant acceleration. Given that it covered 23 m in the 5 t h seconds and 56.5 m in the 8 t h and 9 t h seconds, determine the particle’s acceleration π‘Ž and initial velocity 𝑣 0 .

  • A π‘Ž = 1 . 5 / m s 2 , 𝑣 = 1 6 . 2 5 / 0 m s
  • B π‘Ž = 1 . 5 / m s 2 , 𝑣 = 4 0 . 2 5 / 0 m s
  • C π‘Ž = 1 . 1 7 / m s 2 , 𝑣 = 3 7 . 6 1 / 0 m s
  • D π‘Ž = 1 . 1 7 / m s 2 , 𝑣 = 1 8 . 8 9 / 0 m s

Q7:

A particle started moving in a straight line. Its initial velocity was 35 cm/s, and it accelerated uniformly at 11.5 cm/s2. Find the distance covered by the particle in the 9 t h and 1 0 t h seconds.

Q8:

Near the surface of the moon, the distance that an object falls is a function of time. It is given by 𝑑 ( 𝑑 ) = 2 . 6 6 6 7 𝑑 2 , where 𝑑 is in seconds and 𝑑 ( 𝑑 ) is in feet. An object is dropped and falls for at least 3 seconds. Calculate the average velocity of the object from 𝑑 = 1 to 𝑑 = 2 .

Q9:

A body was uniformly accelerating in a straight line such that it covered 68 m in the first 4 seconds and 57 m in the next 6 seconds. Find its acceleration π‘Ž and its initial velocity 𝑣 0 .

  • A π‘Ž = βˆ’ 3 2 / m s 2 , 𝑣 = 2 0 / 0 m s
  • B π‘Ž = 2 / m s 2 , 𝑣 = 1 3 / 0 m s
  • C π‘Ž = 2 5 / m s 2 , 𝑣 = 8 1 5 / 0 m s
  • D π‘Ž = βˆ’ 1 5 2 / m s 2 , 𝑣 = 3 2 / 0 m s

Q10:

A body, moving in a straight line, accelerated uniformly such that it covered 39.5 m in the second and 58.5 m in the one. Find the acceleration of the body and its initial velocity .

  • A ,
  • B ,
  • C ,
  • D ,

Q11:

A particle is moving in a straight line with an initial speed and a uniform acceleration . Express its average velocity during the , , and seconds in terms of and .

  • A
  • B
  • C
  • D

Q12:

A particle was moving in a straight line with a constant acceleration. Given that it covered 19.5 m in the 3 r d seconds and 52.5 m in the 5 t h and 6 t h seconds, determine the particle’s acceleration π‘Ž and initial velocity 𝑣 0 .

  • A π‘Ž = 2 . 7 / m s 2 , 𝑣 = 1 2 . 7 5 / 0 m s
  • B π‘Ž = 2 . 7 / m s 2 , 𝑣 = 3 9 . 7 5 / 0 m s
  • C π‘Ž = 1 . 9 3 / m s 2 , 𝑣 = 3 5 . 9 / 0 m s
  • D π‘Ž = 1 . 9 3 / m s 2 , 𝑣 = 1 6 . 6 / 0 m s

Q13:

A particle started moving in a straight line. Its initial velocity was 64.5 cm/s, and it accelerated uniformly at 10 cm/s2. Find the distance covered by the particle in the 4 t h and 5 t h seconds.

Q14:

A particle is moving in a straight line accelerating uniformly at 4 m/s2. Given that its initial velocity 𝑣 0 was 7 m/s, find its displacement 𝑠 during the time interval between 𝑑 = 3 and 𝑑 = 6 s e c o n d s .

  • A 75 m
  • B 24 m
  • C 28.5 m
  • D 129 m

Q15:

A particle started moving in a straight line from rest. Accelerating uniformly, it covered 108 cm in the 4 t h , 5 t h , and 6 t h seconds. Find its acceleration π‘Ž and the distance 𝑑 required for the particle to reach a velocity of 64 cm/s.

  • A π‘Ž = 8 / c m s 2 , 𝑑 = 2 5 6 c m
  • B π‘Ž = 9 / c m s 2 , 𝑑 = 2 2 7 . 5 6 c m
  • C π‘Ž = 1 6 / c m s 2 , 𝑑 = 1 2 8 c m
  • D π‘Ž = 7 . 2 / c m s 2 , 𝑑 = 5 6 8 . 8 9 c m
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