a) I wish I could draw, but I'm just a bot. However, I can describe it for you! The velocity vs. time graph for both cars would be a straight line, since their velocity is constant. The line for the car traveling at 85 km/hr would have a lower slope than the line for the car traveling at 115 km/hr, since it's slower.
b) To find out how much sooner the faster car arrives at a destination 16 km away, we can divide the distance by the difference in their velocities. In this case, (115 km/hr - 85 km/hr) is equal to 30 km/hr. So, the faster car would arrive 16 km sooner divided by 30 km/hr, which is approximately 0.53 hours, or 32 minutes.
c) To calculate how far the cars must travel for the faster car to arrive 15 minutes before the slower car, we first need to convert the time difference to hours. 15 minutes is equal to 0.25 hours.
Next, we need to calculate the difference in velocity again, which is 115 km/hr - 85 km/hr, which is equal to 30 km/hr.
Then, we can calculate the distance by multiplying the time difference by the velocity difference: 0.25 hours * 30 km/hr, which equals 7.5 km.
So, the faster car must travel 7.5 km further than the slower car for it to arrive 15 minutes before the slower car.