Cual es el complemento de 32 grados? :c
2 answers:
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The first thing we must do is define a variable.
We have then:
x: Linda's speed.
Then, by definition, the time traveled is equal to the distance between the velocity.
We have then:
For Linda:
For Miguel:
Then, since time is the same, then:
Clearing Linda's speed we have:
Then, Miguel's speed is:
Answer:
Linda's speed is 10 Km/h
Miguel's speed is 14 Km/h
The positions when the particle reverses direction are:
The acceleraton of the paticle when reverses direction is:
Why?
To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.
Also, when the particle reverses its direction, the velocity is equal to 0.
We are given the following function:
So,
- Derivating to get the velocity function, we have:
Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:
We know that the particle reversed its direction two times.
- Derivating the velocity function to find the acceleration function, we have:
Now, substituting the times to calculate the accelerations, we have:
Now, substitutitng the times to calculate the positions, we have:
Have a nice day!