To determine which car will require the longest time to come to a full stop, we need to identify the car with the highest speed. This is because, given that all cars have the same mass, the car with the highest velocity will require the longest time to decelerate to zero, assuming a constant rate of deceleration.
Let's analyze the provided speeds for each car:
- Car A: [tex]\( 890 \, \text{m/s} \)[/tex]
- Car B: [tex]\( 850 \, \text{m/s} \)[/tex]
- Car C: [tex]\( 790 \, \text{m/s} \)[/tex]
- Car D: [tex]\( 895 \, \text{m/s} \)[/tex]
- Car E: [tex]\( 870 \, \text{m/s} \)[/tex]
Comparing these speeds, we find that:
- Car D has the highest speed at [tex]\( 895 \, \text{m/s} \)[/tex].
Therefore, since Car D has the highest speed, it will require the longest time to come to a full stop.
Thus, the correct answer is:
D. Car D
