A particle moves along the x axis. It is initially at the position 0.180 m, moving with velocity 0.060 m/s and acceleration -0.380 m/s^2. Suppose it moves with constant acceleration for 3.80 s. Required:
a. Find the position of the particle after this time.
b. Find its velocity at the end of this time interval.

a

b

Explanation:

From the question we are told that

  The initial position of the particle is  

  The initial  velocity of the particle is  

  The acceleration is  

   The time duration is  

Generally from kinematic equation

=>  

=>  

Generally from kinematic equation

Here s is the distance covered by the particle, so

=>  

Generally the final position of the particle is  

=>  

=>  

conservation of mass

mass before something happens = mass afterwards