Worksheet: Applications of Derivatives on Rectilinear Motion
In this worksheet, we will practice applying derivatives to problems of motion in a straight line.
A particle started moving along the -axis. At time seconds, the its displacement from the origin is given by Find the body’s average speed within the time interval .
A body moves along the -axis such that at time seconds, its displacement from the origin is given by What is its velocity when its acceleration is equal to 0?
- A m/s
- B m/s
- C m/s
- D m/s
- E m/s
A particle is moving in a straight line such that its displacement at seconds is given by Find the velocity of the particle when the acceleration is zero.
A particle is moving in a straight line such that its displacement in meters, , after seconds is given by . When the particle’s velocity is zero, its acceleration is m/s2. Find all the possible values of .
- A24, 22
- B12, 10
- C27, 25
- D , 12
A particle moves along the -axis such that at time seconds () its velocity is given by . Determine the time interval in which the particle decelerates.
A particle started moving along the -axis. When the particle’s displacement from the origin is meters, its velocity is given by . Find the particle’s acceleration when its velocity vanished.