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)
To find out when the characters will collide, we need to find the value of t when the two y-coordinates are equal.
First character's y-coordinate: y₁ = 2t
Second character's y-coordinate: y₂ = t + 2
Set y₁ equal to y₂:
2t = t + 2
Subtract t from both sides:
2t - t = 2
Simplify:
t = 2
Therefore, the characters will collide 2 seconds after the simulation is started.