"Understand the problem" might rightly consist of
• Perform this step first
• Identify what you are being asked to solve or find.
• Identify the important words or numbers in the problem
• Identify any instructions that you are supposed to follow
_____
One of my professors always insisted we start the solution of any problem by writing down what was Given, and what we had to Find, using those headers for the sections of the paper we turned in. Only after those were listed were we allowed to write the Solution. Solution papers that didn't have that format were tossed in the trash, and no credit was given. Harsh, but effective.
Divide both side by 
and rearrange terms to get a linear ODE;
Multiply both sides by 
:
The left side can be condensed as the derivative of a product:
Integrate both sides, then solve for 
:
0 = -16t²+64t+80
Finding the roots of the equation:
-16(t² - 4t - 5) = 0
-16(t-5)(t+1) = 0
t = 5, t = -1. Time cannot be negative, so after 5 seconds it will hit the ground.
