1. The problem statement, all variables and given/known data A body of mass m is thrown upward with intial velocity u, in a medium which exerts a resistance force of mkv. Express, in term of g, k and u, the time taken for the body to reach its maximum height 2. Relevant equations 3. The attempt at a solution a = -g - kv dv/dt = -g - kv -dv/(g+kv) = dt t = -1/k ln|g+kv| +c when t = 0, v=u c = 1/k ln|g+ku| t = -1/k ln|g+kv| + 1/k ln|g+ku| At maximum height, v = 0 Thus t = -1/k ln|g| + 1/k ln|g+ku| Is my working correct?