After studying a solution, close the manual and re-solve the problem from scratch. This active recall solidifies neural pathways far better than passive reading.
After solving a problem, check your answer against the manual. If it differs, do not simply copy the manual’s work. Instead, trace your steps backward to find where your vector decomposition or integration went wrong.
These are the “starter” problems. The equations ( v = v_0 + at ), ( s = s_0 + v_0t + \frac12at^2 ), and ( v^2 = v_0^2 + 2a(s-s_0) ) dominate. The trick is sign conventions. The solutions manual meticulously assigns positive/negative signs based on the problem statement.