Final answer:
The cart's exact position 4.0 seconds later is 2.0 meters from the origin along the x-axis, after starting from 6.0 meters away and moving with a constant speed of 1.0 m/s towards the origin.
Step-by-step explanation:
The question asks about the position of a cart after it moves for a certain time with constant speed. If a cart starts at x = +6.0 m and travels towards the origin, which we can take to be at x = 0, with a constant speed of 1.0 m/s, its position 4.0 seconds later can be determined using simple motion equations. Since the initial position is +6.0 m and the speed is towards the origin, we subtract the distance covered in 4.0 seconds from the initial position:
Distance travelled in 4.0 seconds = speed × time = 1.0 m/s × 4.0 s = 4.0 m.
The cart's new position = initial position - distance travelled = 6.0 m - 4.0 m = 2.0 m.
Therefore, the exact cart position 4.0 seconds later is 2.0 meters from the origin, along the x-axis.