1) A mass m moves such that at time t its position is given by x(t) = b +ct^2 + de^(-kt) , where b, c, d, and k are constants. (a) What is the force on this particle at time t? (b) As t → ∞ what is this force? ($8)
2) A snowboarder with mass 60 kg is sliding up ?a hill with θ = 30° and with kinetic coefficient of friction between the snow and the board of μk= 1/10 (a) if the snowboarder's initial velocity is 10 m/s, how long will it take the board to stop? (b) How far will the board slide in this time? ($8)
3) A baseball is thrown at 50 m/s from a height of 1 meter at an angle θ = 30 . (a) How long will it take the baseball to come back to the 1 meter height?, and (b) at that point, how far in horizontal distance will the baseball have traveled? Neglect air resistance and assume the baseball is not spinning. ($8)