1. Consider 2 vectors, A and B. A picture of them is shown in Figure 1. A third
ID: 1771817 • Letter: 1
Question
1. Consider 2 vectors, A and B. A picture of them is shown in Figure 1. A third vector is defined as the sum of these two vectors, i.e. C=A+B Which of the vectors shown in Figure 2 is an accurate representation of C? (a) 1 (b) 2 2. Your car is traveling bchind a jeep. Both are moving at the same speed, so the velocity of the jeep relative to you is zero. A spare tire is trapped to the back of the jeep. Suddenly, the strap breaks, and the tire falls off the jeep. Will your car hit the spare tire before the tire hits the road? Assume that air resistance is absent. Choose the right answer with the right reason. (a) Yes, as long as the car doesn't slow down, it will hit the tire (b) No, the car wil not hit the tire before the tire hits the ground, no matter how close you are to the jeep. (c) If the tire falls from a great enough height, the car will hit the tire (d) If the car is far cnough behind the jeep, the car will not hit the tire (e) If the tire is massive enough, it will hit the road before the trailing car, otherwise the car will hit it.Explanation / Answer
1. From fig 1
A = 2i + j
B = i + 3j
Sum of vectors
A + B = 3i + 4j
Therefore tge answer is 3.
2. Just at the time of falling, the tire will have a velocity component along the direction of motion of the Jeep and same as the speed of the Jeep. So, both tire and car will have same horizontal velocity till the tire reaches the ground.
Hence No, the car will not hit the tyre before the tyre hit the ground, no mattr how close you are to th jeep.
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