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EXERCISES ON CONTINUOUS BRIDGE MOVEMENT
Form 1: Problem about average speed
Lesson 1: A car travels on a straight line segment AB 1800 km long, with an average speed of 60 km/h. How long does it take the car to cover that distance?
A:3h; B:2h; C:4h; D: 5 o’clock.
Lesson 2: A car travels the end of road AB with an average speed of 40 km/h in 5 h, and in order to return to A in 2 h, what is the average speed of that car?
A:50km/h; B:60km/h; C:70km/h; D: 100km/h.
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Lesson 3: A car runs for 5 hours; In the first 2 hours, the car runs at an average speed of 60km/h; After 3 hours, the car runs at an average speed of 40km/h. Calculate the average speed of the car during the entire motion.
A:48km/h; B:8km/h; C:58km/h; D: 4km/h.
Lesson 4: A car travels the first half of the way with an average speed vfirst = 12km/h and the second half of the road at an average speed v2 = 20km/h. Calculate the average speed for the whole route:
A:48km/h; B:15km/h; C:150km/h; D: 40km/h.
Lesson 5: An object travels part of the path in time tfirst = 2s with speed vfirst = 5m/s, travel the rest of the way in time t2 = 4s with velocity v2 = 6.5m/s. Answer the following question:
a) Calculate the average speed of the object over the whole distance:
A:6m/s; B:5.75m/s; C:6.5m/s; D: 3m/s.
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b) Under what condition is the average speed equal to the average of the two speeds v .?first and v2
A: tfirst = t2; B: tfirst = 2t2; C: tfirst = 1/2t2; DT2 = 2tfirst.
Lesson 6: An object moves uniformly from A to B and then turns right at an angle of 90 . to get to C. Know AB = 600m, BC = 800m and travel time takes 20 minutes. Answer the following questions:
a) what is the path and displacement of the above motion.
A:1400m And 1000m; B:1000m and 800m; C:1000m and 1400m; D: Another result.
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b) Calculate the average speed and average speed.
A: 70m/min and 50m/min; B: 50m/min and 70m/min;
C: 800m/min and 600m/min; D: 600m/min and 800m/min.
Lesson 7: A car moving in a straight line has an average speed of 18 km/h on the first quarter of the road and 54 km/h on the remaining three quarters. Answer the following questions:
a) What is the average speed of the car on the whole road?
A: 24km/h; B: 36km/h; C: 42km/h; D: Different from A, B, C.
b) What is the length of the whole road?
A: 36km; B: 72km; C: 144km; D: Unspecified drug.
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c) What is the total time it takes to cover the entire distance?
A:1h; B:2h; C:4h; D: Unspecified
Lesson 8: An object moves in a straight line with constant direction over a distance of 40 m. Half the distance traveled by the object in time tfirst = 5s, half the distance after the object travels in time t2 = 2s. Average speed for the whole trip is:
A.7m/s; B.5.71m/s; C.2.85m/s; D.0.7m/s;
Lesson 9: An object moving in a straight line does not change direction. On the distance AB, the object travels the first half of the distance with speed vfirst = 20m/s, half the distance behind the object traveling with speed v2 = 5m/s. The average speed for the whole trip is:
A.12.5m/s B.8m/s C.4m/s D.0.2m/s
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Lesson 10: A car moving in a straight line without changing direction; In the first 2 hours, the car runs at an average speed of 60km/h, and after 3 hours, the car runs at an average speed of 40km/h. The average speed of the car during the whole run is:
A.50km/h B.48km/h C.44km/h D.34km/h
Lesson 11: A car moving in a straight line without changing direction, in the first half of the time it travels with a speed of 12 km/h and in the second half with a speed of 18 km/h. Average speed during the whole journey is:
A.15km/h B.14.5km/h C.7.25km/h D.26km/h
Lesson 12: A cyclist travels 2/3 of the way with an average speed of 10 km/h and a third of the way with an average speed of 20 km/h. The average speed of the cyclist over the entire route is
A.12km/h B.15km/h C.17km/h D.13.3km/h
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Lesson 13: When the particle moves in one direction and we choose that direction as the positive direction, then:
A. Displacement is equal to the distance traveled
B. Average speed is equal to average speed
C. Velocity is always positive
D. All three of the above are correct
Form 2. Equation of uniform rectilinear motion
Lesson 1. The equation of motion of a particle along the Ox axis has the form: x = 5 + 60t (x in kilometers and t in hours). At what point does the particle come from and at what speed is it moving?
A. From point O, at a speed of 5km/h.
B. From point O, at a speed of 60 km/h.
C. From point M, it is 5 km from O, with a speed of 5 km/h.
D. From point M, 5 km from O, with a speed of 60 km/h.
Lesson 2. The equation of motion of a particle along the Ox axis has the form: x = 4 – 10t (x is in kilometers and t is in hours). The distance traveled by the particle after 2 hours of motion is
A.-20 km. B.20 km. C.-8 km. D.8 km.
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Lesson 3. An object is moving in a straight line with speed v = 2m/s. And at t = 2s, the object has coordinates x = 5m. The coordinate equation of the object is
A. x = 2t +5 B. x = -2t +5 C. x = 2t +1 D. x = -2t +1
Lesson 4. The equation of a moving body has the form: x = -3t + 4 (m; s). The following conclusions correct
A. The object moves in the positive direction during the time of motion
B. The object moves in the positive direction during the time of motion
C. Object changes direction from positive to negative at time t = 4/3
D. Object changes direction from negative to positive at coordinate x = 4
Lesson 5. A car moves along a straight road with a constant speed of 80 km/h. The bus station is located at the beginning of the straight line and cars start from a point 3 km from the bus station. Choose the bus station as a landmark, choose the time when the car starts off as a landmark, and choose the direction of movement of the car as the positive direction. The equation of motion of the car on this straight line is
Ax = 3 + 80t. Bx = 80 – 3t. Cx = 3 – 80t. Dx = 80t.
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Lesson 6. At the same time at two points A and B 10 km apart, there are two cars traveling in the same direction on a straight line from A to B. The speed of the car from A is 54 km/h and the speed of the car from B is 48 km/h. Choose A as the landmark, choose the starting time of the two cars as the time and choose the direction of movement of the two cars as the positive direction. What is the equation of motion of the above cars?
A. Cars run from A : xA = 54t; Cars run from B : xREMOVE = 48t + 10.
B. Cars run from A : xA = 54t + 10; Cars run from B : xREMOVE = 48t.
C. Cars run from A : xA = 54t; Cars run from B : xREMOVE = 48t – 10 .
D. Cars run from A : xA = -54t; Cars run from B : xREMOVE = 48t
Lesson 7. The content is like lesson 28, asking the time from the time two cars start to the time car A catches up with car B and the distance from A to the place where the two cars meet is
A.1 h; 54 km. B.1 h 20 min; 72 km. C.1 h 40 min; 90 km. D.2 h; 108 km.
Lesson 8. Which of the following equations of uniform linear motion represent motion that does not originate from the origin and is initially directed toward the origin?
A. x = 15+40t (km,h) B. x = 80-30t (km,h) C. x = -60t (km,h) D. x = -60-20t (km,h)
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Lesson 9: At 7 o’clock a person at A moving in a straight line with a speed of 36 km/hr chases a person at B moving with a speed of 5 m/s. Knowing AB = 18km.Choose a coordinate axis that coincides with the motion line, the positive direction is the direction of motion, the origin is at A, the time origin is at 7 o’clock. Answer the following questions:
a) Write down the equations of motion of the two people.
A: XA = 36t; XB = 18+18t.
B: XB = 36t; XA = 18+18t.
C: XA = 36t; XB = 18t.
D: XA = 18+36t; XB = 18t.
b) At what time did the first person catch up with the second?
A: at 9am, 72km from A. B: at 8 o’clock, 36km from A. C: At 10am, 108km from A. D: at 8 o’clock, 72km from A.
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c) Determine the time when the two people are 6 km apart.
A: At 7:40 a.m. when the first person hasn’t met the second.
B: At 8:30 a.m. when the first person overtakes the second.
C: At 9:10 a.m. when the first person passed the second.
D: Both A and B.
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