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2. A car is travelling along a relatively straight highway 30 km long. For the first 5 minutes of the journey, the car travels at
2. A car is travelling along a relatively straight highway 30 km long. For the first 5 minutes of the journey, the car travels at a constant velocity of 30 km/h. After this, the car accelerates to 65 km/h within a 400 m stretch, and stays at this velocity for 14 minutes. The car slows to 50 km/h very quickly (in about 6 seconds) in order to avoid running into a car in front, and slowly sped up to 80 km/h over the remainder of the length of the highway (i.e. reached 80 km/h at the end of the highway) 3. Draw a graph showing the acceleration of the car on the highway (v vs. t graph) b. Draw a graph showing the velocity of the car on the highway (x vs t graph) c. What is the average velocity of the car over the highway trip? 3. A truck of mass 4000 kg is travelling along the road. If the truck is travelling at a velocity of 60 km/h and accelerates to 85 km/h in 14 seconds. a. How much force would the tires need to exert on the road in order for the truck to change its speed? b. If the truck slams on the brakes travelling at 85 km/h, causing the wheels to stop rolling and instead skid, how far will the truck skid before coming to a stop (us = 0.7 between tires and road surface) Hint: truck is decelerating in a constant manner. 4. Two masses, 2 kg and 4 kg are separated by a distance of 2.5 m. a. What is the gravitational force of each mass on the other? b. If a third mass of 3.2 kg is placed directly between the two initial masses, at what distance from the smaller mass will the gravitational force on the third mass from the two masses be equal
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