Final answer:
To find when and where two objects moving towards each other will collide, an equation based on their initial positions and velocities is used. The object with the greater absolute velocity is Object 2 with -2.2 m/s. To find the exact collision time and position, the equation 5.4 m + (1.5 m/s) * t = 8.1 m - (2.2 m/s) * t should be solved.
Step-by-step explanation:
The question involves calculating the time and position at which two objects moving towards each other will collide, and identifying which object has a greater speed. Given that Object 1 has a velocity of 1.5 m/s and starts at 5.4 m, while Object 2 has a velocity of -2.2 m/s and starts at 8.1 m, the two are moving towards each other.
We can set up an equation to find the time of collision by equating the distance traveled by both objects to the initial difference in their positions:
5.4 m + (1.5 m/s) * t = 8.1 m - (2.2 m/s) * t
Solving for t provides the time at which they will collide. To find that value, and the collision position, one would solve the above equation, then substitute t back into either object's motion equation.
Since absolute velocity values are considered for determining speed, without regards to direction, we compare 1.5 m/s (Object 1's speed) and 2.2 m/s (Object 2's speed). Object 2 has the greater speed being 2.2 m/s compared to Object 1's 1.5 m/s.