Assignment

Complete all work on a separate sheet of paper write in pencil. Make sure to include all work for credit. Each problem is worth one point.

1. A mass hanging on a spring is set in motion and its ensuing velocity is given by

v(t) = 2π cos(πt),

for t ≥ 0. Assume the positive direction is up and that s(0). Determine the position function and the first 3 times the mass reaches its low points.

2. A 1000 liter tank has 200L of water in it when it begins to be filled at a rate (in L/min) modeled by the function

Q'(t) = 3√t,

where t is measured in minutes. Find a function modeling the amount of water in the tank and determine how long it will take to fill the tank.