00:01
For this problem, we're considering the motion of a turtle that starts at the origin and some time later ends up at the location 24 centimeters to the right and 10 centimeters above where they started.
00:19
And we're asked to, to the best of our abilities, find velocity at 3 seconds, 10 seconds, and 24 seconds.
00:27
The problem is that we don't know how much time is involved, and generally, velocity is going to be equal to displacement over time.
00:42
But we don't know, we can find the total displacement of the turtle, but we don't know how long it took the turtle to undergo that displacement.
00:52
And we don't know what the final location is at the end of each of these three times.
00:59
So we can set up the problem, but we won't be able to get to a single number with no variables in it as our answer because we don't have enough information.
01:12
To start, i'm going to split the x and y directions up and say that velocity in the x direction is, change in x over time, and velocity in the y direction is change in y over time.
01:34
Our turtle starts at the origin, so if we are considering part a, if time is three seconds, then the velocity in the x direction is going to be final position, which we don't know, so i'm going to leave it as x, minus initial position, which is zero, divided by the time, which is 3 in this case.
01:56
And so we would get x over 3 meters per second.
02:02
The y velocity is going to go very similarly...