Question

A child enters a carousel that takes one minute to revolve once around. The child enters at the point (1,0). Assume the carousel revolves counter clockwise. What are the coordinates of the child after 2 minutes and 30 seconds?

Answer 1

Answer:

(-1,0)

Step-by-step explanation:

Given that ;

1 minute= 1 revolution

2minutes=2 revolution

30seconds, 0.5 minutes= 1/2 a revolution

Hence;

2 minutes 30 seconds will be two and a half revolutions

2 minutes will complete 2 revolutions to return to point (1,0), then from (1,0), the carousel proceeds to cover the half revolution and complete 2 minutes and 30 seconds

Note the revolutions will be conducted in anticlockwise direction, so the 1/2 revolution will follow the property of rotation in anticlockwise direction about the origin through 180°, starting from point (1,0)

The property states that a points (h,k) rotated about the origin in anticlockwise direction through 180° will be mapped to (-h,-k)

Hence (1,0) will be mapped to (-1,0)