In: Physics
A robot moves in rectilinear motion along the ? axis to the
positive ? direction. The motion starts
from rest at x = 0 at time t = 0. During the time interval 0 … 6 s
the acceleration of the robot is (in
units of m/s2, when t is in seconds)
a(t)=2t, when t=0...2s
a(t)=-t+6, when t=2...6s
Give the corresponding expressions for a) the velocity v(t) and b) the position x(t) of the robot as functions of time in the interval 0 … 6 s. What are c) the final velocity v(6 s), and d) the final position x(6 s) of the robot?