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Lesson: The Average Velocity within an nth Second

Worksheet: The Average Velocity within an nth Second • 17 Questions

Q1:

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

Q2:

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

Q3:

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 and its initial velocity .

  • A ,
  • B ,
  • C ,
  • D ,

Q4:

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 and its initial velocity .

  • A ,
  • B ,
  • C ,
  • D ,

Q5:

A body was moving in a straight line accelerating uniformly. If it covered 55 meters in the first 4 seconds and 57 meters in the next 4 seconds, determine the total distance that it covered in the first 10 seconds of its motion.

Q6:

A body was moving in a straight line accelerating uniformly. If it covered 57 meters in the first 5 seconds and 72 meters in the next 3 seconds, determine the total distance that it covered in the first 10 seconds of its motion.

Q7:

A body was moving in a straight line accelerating uniformly. If it covered 52 meters in the first 5 seconds and 77 meters in the next 5 seconds, determine the total distance that it covered in the first 12 seconds of its motion.

Q8:

A particle is moving in a straight line accelerating uniformly at 1 m/s2. Given that its initial velocity was 21 m/s, find its displacement during the time interval between and seconds.

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

Q9:

A particle is moving in a straight line accelerating uniformly at 4 m/s2. Given that its initial velocity was 7 m/s, find its displacement during the time interval between and seconds.

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

Q10:

A particle started moving in a straight line from rest. Accelerating uniformly, it covered 135 cm in the , , and seconds. Find its acceleration and the distance required for the particle to reach a velocity of 45 cm/s.

  • A ,
  • B ,
  • C ,
  • D ,

Q11:

A particle started moving in a straight line from rest. Accelerating uniformly, it covered 108 cm in the , , and seconds. Find its acceleration and the distance required for the particle to reach a velocity of 64 cm/s.

  • A ,
  • B ,
  • C ,
  • D ,

Q12:

A particle was moving in a straight line with a constant acceleration. Given that it covered 23 m in the seconds and 56.5 m in the and seconds, determine the particle’s acceleration and initial velocity .

  • A ,
  • B ,
  • C ,
  • D ,

Q13:

A particle was moving in a straight line with a constant acceleration. Given that it covered 19.5 m in the seconds and 52.5 m in the and seconds, determine the particle’s acceleration and initial velocity .

  • A ,
  • B ,
  • C ,
  • D ,

Q14:

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 and seconds.

Q15:

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 and seconds.

Q16:

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 ,

Q17:

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 ,
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