IDNLearn.com: Your destination for reliable and timely answers to any question. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.

A swimmer enters the water and swims in a straight line at 54 meters per minute. Another swimmer enters the water

3 minutes later, swimming in the same direction at 134 meters per minute. Which parametric equations could model

the swimmers' paths from the time the first swimmer entered the water?


Sagot :

Answer:

[tex]x(t) = 54t[/tex]  and [tex]y(t) = 134(t - 3)[/tex]

Step-by-step explanation:

Represent the swimmers with A and B

For Swimmer A:

[tex]Rate = 54m/min[/tex]

For Swimmer B:

[tex]Rate = 134m/min[/tex]

Required:

Write a parametric equation

For Swimmer A:

If swimmer A covers 54 meters in 1 minutes, then the swimmer covers 54t in t minutes

So, the function is:

[tex]x(t) = 54t[/tex]

For Swimmer B:

If swimmer A covers t minutes, swimmer B swims for (t - 3) minutes because swimmer B starts 3 minutes later.

If in 1 minutes, swimmer B covers 134 minutes; In (t - 3) minutes, the swimmer covers 134(t - 3)

So, the rate is:

[tex]y(t) = 134(t + 3)[/tex]

Hence, the parametric functions are:

[tex]x(t) = 54t[/tex] and

[tex]y(t) = 134(t - 3)[/tex]

Answer:

A on Edge

Step-by-step explanation:

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.