Lesson: Rectilinear Motion and Integration AP Calculus BC • AP Calculus AB

Mathematics

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

Video

16:30

Sample Question Videos

  • 04:02
  • 04:29
  • 04:25

Worksheet

Q1:

A car, starting from rest, began moving in a straight line from a fixed point. Its velocity after 𝑑 seconds is given by 𝑣=ο€Ή8𝑑+6𝑑/𝑑β‰₯0.ms, Calculate the displacement of the car when 𝑑=9seconds.

Q2:

A particle is moving in a straight line such that its acceleration at time 𝑑 seconds is given by π‘Ž=(2π‘‘βˆ’18)/𝑑β‰₯0.ms, Given that its initial velocity is 20 m/s, find an expression for its displacement in terms of 𝑑.

Q3:

A particle is moving in a straight line such that its velocity at time 𝑑 seconds is given by 𝑣=ο€Ή15π‘‘βˆ’8𝑑/𝑑β‰₯0.ms, Given that its initial position from a fixed point is 20 m, find an expression for its displacement at time 𝑑 seconds.

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