1. The position, in meters, of a particle moving in a straight line is given by
x(t) = 4t^3 + 6t +2.5 (where t is measured in seconds).
a. Find the velocity function.
b. Find the velocity at time t = 2 seconds.
c. Find the acceleration function.
d. Find the acceleration at time 3 seconds.
e. When is the velocity of the particle 18 meters per second?
f. Find the velocity when the position of the particle is 25 meters.
g. Find the initial position.
h. Find the particle’s displacement from 0 to 1.5 sec.