1. The problem statement, all variables and given/known data Suppose that a particle moves along a line so that its velocity v at time t is given by 5t, if 0≤t<1 (6(t)^(1/2))-(1/t), if 1≤t where t is in seconds and v is in centimeters per second (cm/s). Estimate the time(s) at which the particle is 4 cm from its starting position. 2. Relevant equations s(t)=∫v(t) 3. The attempt at a solution Took antiderivative of velocity piecewise function, resulting in: s(t)=(5/2)t^2, if 0≤t<1 s(t)=4t^(3/2)−ln(|t|), if 1≤t Solved first part of piecewise function for 4, resulting in t=((2)(10)^(1/2))/5)≈1.2649, which is out of the domain of this part of the piecewise function. I do not know how the second part of the piecewise function would be solved for 4.