00:01
Hi there, so to solve this problem, what we need to do is to start labeling the sides of the triangle that is formed by these two bikers.
00:11
So we're going to call the vertical side of this, this distance right here, as y.
00:19
And the horizontal side of this as the distance x.
00:25
And the distance between the two bikers we're going to call that distance as the distance s.
00:34
Now, the information that we are given is that the biker that is moving north, it is moving, so then the rate of change of why with respect to time is equal to one meter per second.
00:50
And the rate of change of x with respect to time, we are also given that, and that is equal to two meters.
00:57
Per second.
01:00
So the question is, at what rate is the distance between the two writers increasing five seconds after the second person started writing? so with this, we can obtain.
01:17
So we're told that sorry, and the second person started writing.
01:30
So we know that with this, so yes, what we have in here with that information is that we can determine the values of x and y for that moment.
01:51
Remember that we're told that five seconds after the first bikers started right in north, the second start to ride towards east.
02:02
So we know that there is a difference in time.
02:08
The one that is moving north, it has moved 10 seconds.
02:14
And this times it's a speed that is one.
02:19
And for the other one, we will have that that is just five seconds times it's a speed that is two.
02:26
So from this we obtain in both cases 10 meters at this moment...