1. Rank car #1’s speed relative to the ground atthe lettered times (A through E)

Question

1. Rank car #1’s speed relative to the ground atthe lettered times (A through E). I know it's not (Fastest) E,D,C,B,A (Slowest), but I don'tknow how to approach this problem or how to solve it.
2. Rank car #1’s speed relative to car #2 at the letteredtimes (A through E). I know at letter E they are equal, but other than that I haveno idea how to solve or approach this problem 3. Rank the distance between the cars at the letteredtimes.
I believe (Largest) A, B, C, D, E(Smallest).

Any help would be appreciative!

Explanation / Answer

Pretend the very bottom of the graph is a velocity of 0 units.Pretend each unit has a value of 1 meter per second. Then, at t= 0 when both cars are next to each other Car 1 has avelocity of 1 m/s wrt the ground. At t=0 car 2 has a velocity of 4 m/s (i.e 4 units) wrt theground. So at t=0 car 2 is moving faster than car 1. (As an aside, look at the slopes of each car's velocity. The slopeof car 2 is larger than car 1 so car 2 is changing its velocityfaster than car 1 (i.e. car 2 has a greater acceleration than car1.) At each point A, B, C etc. just read the velocities directly offthe graph to get the speed of each car with respect to theground. For the velocity of one car with resect to the other, that willsimply be the difference in speeds of each car wrt the ground at agiven time. There is one point on the graph where the speeds of each car arethe same. "X" Marks the spot. Do you see why? For Q3 the distance each car travels is the area under the curve.If you figure out the first two questions you will hopefully seehow to approach Q3. If not I will give some hints.

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