Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

In a video game, two objects move around the screen according to the equations r = 4cos(θ) and r = –1 2cos(θ). which coordinates represent a possible collision point of the objects?

Sagot :

The coordinates represents a possible collision point of the objects according to equations r = 4cos(θ) and r = –1/ 2cos(θ)  cos(∅) are (-2,2π/3).

Given Equations  r = 4cos(θ) and r = –1 2cos(θ).

We have to find the coordinates of collision.

The first object is moving around the screen r = 4cos(θ).

The second object is moving around the screen r = –1 /2cos(θ).

According to question

Coordinate can be found out by equating both the equations.

4cos(θ) =–1 /2cos(θ)

2cos(θ)=-1

cos(θ)=-1/2

θ=[tex]cos^{-1} (1/2)[/tex]

=120°

θ=-2π/3

Therefore the two equations are equal when

θ=2π/3

we have

r=4 cos(2π/3)=-2

and r=-1+2 cos(2π/3)

r=-2

Hence the coordinates that represent the collision point are (-2,2π/3).

Learn more about motion of equation at https://brainly.com/question/25951773

#SPJ4