To determine which car will require the longest time to come to a full stop, we need to consider the speeds of the cars, given that each car has the same mass. The longer stopping time is directly related to the higher speed. So, the car with the highest speed will have the longest stopping time.
Let's list the speeds again for clarity:
- 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]
Now, we compare the speeds:
- 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]
Among these speeds, Car D has the highest speed of [tex]\( 895 \, \text{m/s} \)[/tex]. Therefore, Car D will require the longest time to come to a full stop due to its highest speed.
The correct answer is:
D. Car D