Lesson: Rectilinear Motion and Integration

In this lesson, we will learn how to apply integrals to solve problems involving motion in a straight line.

Sample Question Videos

  • 04:39
  • 02:27
  • 01:28

Worksheet: 25 Questions • 3 Videos

Q1:

The acceleration of a particle moving in a straight line, at time 𝑡 seconds, is given by 𝑎 = ( 3 9 − 3 𝑡 ) / 0 ≤ 𝑡 ≤ 1 3 . c m s , When 𝑡 > 1 3 , the particle moves with uniform velocity 𝑣 . Determine the velocity 𝑣 and the distance, 𝑑 , covered by the particle in the first 23 s of motion.

Q2:

A body started moving along the 𝑥 -axis from the origin at an initial speed of 10 m/s. When it was 𝑠 meters away from the origin and moving at 𝑣 m/s, its acceleration was ( 4 5 𝑒 ) m/s2 in the direction of increasing 𝑥 . Determine 𝑠 when 𝑣 = 1 1 / m s .

Q3:

A particle is moving in a straight line such that its speed at time 𝑡 seconds is given by Given that its initial position 𝑟 = 1 6 0 m , find its position when 𝑡 = 3 s e c o n d s .
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