I need a step-by-step process of how to solve this I know the answer but I need to know exactly how to solve these kinds of ques
1 answer:
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Answer:
5.89 mi/h
Step-by-step explanation:
This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.
First, we start by drawing a diagram with the velocity vectors.
A= velocity of the first person
B= velocity of the second person
C= velocity in which they are moving away from each other.
Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)
Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.
Law of cosines:
so we can solve the formula for C so we get:
and now we can substitute the values we know:
if we want an exact answer, then that will be the exact answer, which approximates to:
C=5.89 mph
Equation of the given line will be :
- y = 4x - 3
now, let's plug the value of x as the x - coordinate of the above point (-2 , 9) to check whether it lies on the line or not.
now, since value of isn't equal to the y - coordinate of the given point, so the point doesn't lies on the line.