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Aerospace Engineering

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Oct 30, 2023

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1 . A dog runs into a room and sees a cat at the other end of the room. The dog instantly stops running but slides along the wood floor until he stops, by slowing down with a constant acceleration. Sketch a motion diagram for this situation, and use the velocity vectors to find the acceleration vector. 2. Figure 3-5 is a V-t graph for Steven as he walks along the midway at the state fair. Sketch the corresponding motion diagram, complete with velocity vectors. 3.
3. Refer to the v-t graph of the toy train in Figure 3-6 to answer the following questions. a . When is the train’s speed constant? 5.0 go 15.0s b . During which time interval is the train’s acceleration positive? 0.0 to 5.0s c . When is the train’s acceleration most negative? 15.0 to 20.0s 4 . Refer to Figure 3-6 to find the average acceleration of the train during the following time intervals.
5 . Plot a v-t graph representing the following motion. An elevator starts at rest from the ground floor of a three-story shopping mall. It accelerates upward for 2.0 s at a rate of 0.5 m/s2, continues up at a constant velocity of 1.0 m/s for 12.0 s, and then experiences a constant downward acceleration of 0.25 m/s2 for 4.0 s as it reaches the third floor. 6 . A race car’s velocity increases from 4.0 m/s to 36 m/s over a 4.0-s time interval. What is its average acceleration? 7 . The race car in the previous problem slows from 36 m/s to 15 m/s over 3.0 s. What is its average acceleration? 8 . A car is coasting backward downhill at a speed of 3.0 m/s when the driver gets the engine started. After 2.5 s, the car is moving uphill at 4.5 m/s. What is the car's average acceleration if uphill is chosen as the positive direction?
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