You are designing a simulation in which two characters moving along different paths are going to collide when the characters are at the same position at the same time. The position of the first character is given by y=2t , and the second is y=t+2 , y is in centimeters and t is the time in seconds. How many seconds after the simulation is started will the characters collide?(1 point) Responses 3 seconds 3 seconds 2 seconds 2 seconds 1 second 1 second 4 seconds

Question

You are designing a simulation in which two characters moving along different paths are going to collide when the characters are at the same position at the same time. The position of the first character is given by y=2t , and the second is y=t+2 , y is in centimeters and t is the time in seconds. How many seconds after the simulation is started will the characters collide?(1 point) Responses 3 seconds 3 seconds 2 seconds 2 seconds 1 second 1 second 4 seconds

Answer 1

To find the time when the characters will collide, we need to find the time when their y-coordinates are equal.

The y-coordinate of the first character is given by y = 2t, and the y-coordinate of the second character is given by y = t + 2.

Setting these two equations equal to each other, we have:

2t = t + 2

Combining like terms, we get:

t = 2

Therefore, the characters will collide 2 seconds after the simulation is started.