High School

We appreciate your visit to Ted is sitting in his lawn chair when Stella flies directly overhead going southeast at 100 8 m s Five seconds later a firecracker explodes. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Ted is sitting in his lawn chair when Stella flies directly overhead, going southeast at 100.8 m/s. Five seconds later, a firecracker explodes 219 m east of Ted.

What are the coordinates of the explosion?

Answer :

Final answer:

The coordinates of the explosion are (Ted's initial x-coordinate + 219 m, Ted's initial y-coordinate + southward component of Stella's displacement).

Explanation:

To find the coordinates of the explosion, we need to calculate the displacement of Stella during the 5-second interval. Since Stella is flying southeast, we can break down her velocity into two components: eastward and southward.

Given that Stella is flying at a speed of 100.8 m/s, we can use trigonometry to find the eastward and southward components of her velocity. Let's assume the angle between Stella's velocity vector and the eastward direction is θ.

Using the given information, we can calculate the eastward component of Stella's velocity:

Eastward component = Velocity * cos(θ)

Similarly, we can calculate the southward component of Stella's velocity:

Southward component = Velocity * sin(θ)

Now, we can calculate the displacement of Stella during the 5-second interval:

Displacement = Velocity * Time

Next, we add this displacement to the initial position of Ted to find the coordinates of the explosion. Since the explosion is 219 m east of Ted, the x-coordinate of the explosion will be Ted's initial x-coordinate plus 219 m. The y-coordinate will be Ted's initial y-coordinate plus the southward component of Stella's displacement.

Learn more about coordinates of the explosion here:

https://brainly.com/question/34644916

#SPJ14

Thanks for taking the time to read Ted is sitting in his lawn chair when Stella flies directly overhead going southeast at 100 8 m s Five seconds later a firecracker explodes. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada