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

2 seconds
2 seconds

3 seconds
3 seconds

4 seconds
4 seconds

1 second

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the time at which the characters collide, we need to find the value of t that makes y equal for both characters.

For the first character: y = 2t
For the second character: y = t + 2

Setting these two equations equal to each other:
2t = t + 2
Subtracting t from both sides:
t = 2

Therefore, the characters will collide 2 seconds after the simulation is started. So the correct answer is:
2 seconds