The acceleration of a particle is defined by the following relation where A is a constant. At t=0 the position of the particle is 8 meters measured from the origin and is at rest. At the end of the first second, the velocity of the particle is 30 meters per second.
a = A - 6t2
a. What is the value of the constant A?
b. What is the position of the particle at the end of 2 seconds?
c. What is the velocity of the particle at the end of 3 seconds?
d. What is the acceleration of the particle at the end of 3 seconds?
Note: Distances are in meters and time in seconds. Hint; Find the expression of velocity and acceleration as a function of time.