1D Kinematics Legacy Problem #24 Guided Solution

As is the usual case, an effective solution to a problem involves carefully reading the problem and translating the numerical information into variables associated with the equations that we use in physics. So here we can observe that when Bonior and Kitts from the shore sail boating in late gust to storm, starting from rest, that's information that's important. It tells us that V0 equals zero. Starting from rest near the shore, they accelerate with a constant acceleration, A equal .29 meters per second per second. How far are they? Find the distance. How far are they from shore after 18 seconds? T equals 18. So what I know is three pieces of information, that V0 equals zero, that A equals .29 meters per second per second, and that T equals 18 seconds. And what I'm looking for is a T. And in this unit, plotting a strategy demands finding a kinematic equation that has the three known quantities in it and the fourth unknown quantity. So I'm looking for some D equation that has in it V0, A, and T, and there's only one such equation. It's the one that goes T equals V0T plus 1.5 AT squared. Now the fact that they start from rest means the original velocity V0 is zero, and that first term to the right side of the equation symbol is going to be zero. So the equation actually reduces to T equals 1.5 AT squared, where A is .29 and T is 18. You put those numbers in to make sure that you're squaring the 18, you're going to get the right answer on this.