position equation: x(t)= t ln t - 3t + c
Velocity equation: v(t)= ln t -2
a.) if particle is located at the orgin at t=1, find c and an equation for x(t)
b.) for what values of t is the particle moving to the left
a.) Substitute x(1) = 0: 0 = 1 ln (1) - 3(1) + c => 0 = -3 + c => c = 3.
b.) v > 0 => moving to the right, v < 0 => moving to the left. Therefore. solve ln (t) - 2 < 0.