A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initial speed of 32 ft/s. Air resistance is proportional to speed, with k=1/128 lb-s/ft. Find the maximum height attained by the stone.
The Attempt at a Solution
Here's my work:
integrating factor method:
v(t)=0 when t=0.992268
But the answer in the book says 17.10 ft. What's wrong? Is my answer correct? If not, then please correct me.