Applications of Differentiation : Exercise 2

Introduction
Exercise 2, will focus more on derivation of velocity and acceleration equations from the differentiation of an equation of displacement with respect to time (t).

1. A particle is moving along a straight line through a distance s meter in t seconds, given by the equations below. Determine the velocity and acceleration of the particle when t = 4s.



2. A particle moves in a straight line. Its displacement, s meter, from the fixed point O after t seconds is given by
   
   
   Find:



3. A car moves from a static condition from point O to a distance s meter on a road in t seconds is given by



 


4. A car moves from a static condition from point O to a distance s meter on a road in t seconds is given by