1D Kinematics Workbook

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Apr 3, 2024

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Kinematics 1 Practice Booklet Name: _____________________________ Lessons 1 & 2 Practice 1. A person walks 10 m east, 20 m west, and finally 10 m east. The total walk took 20 s. (a) Draw a vector diagram for the entire walk (b) Calculate the  Distance travelled (40 m)  Displacement of the person (0 m)  Average speed of the person (2.0 m/s)  Average velocity of the person (0 m/s) 2. An object moves 35 m north, 129 m south, 375 m north, and finally 785 m south. The total trip took 10 minutes . (a) Draw a vector diagram for the entire trip (b) Determine the  Distance travelled (1324 m)  Displacement of the object (-504 m [south])  Average speed of the object (2.2 m/s)  Average velocity of the object (-0.84 m/s [south]) 3. A car travels with an average speed of 75 km/h for 75 minutes . Find the distance the car travels in kilometers . (94 km)

4. A bean plant grows at an average speed of 3.858×10 -5 cm/s. After growing for three days , calculate the height of the bean plant in centimeters . (10.00 cm) 5. Visible light travels at a speed of 3.00×10 8 m/s. If the Earth is located 1.5×10 8 km from the sun, determine the length of time it will take for light to travel from the sun to the Earth in seconds . (5.0×10 2 s) 6. Kang van Leenen is standing 50 m from a large bell. With his mighty throwing arm, Kang throws a rock at the bell and hears the sound of the bell 4.5 s later. If the speed of sound in air is 330 m/s, find the (a) Time it will take the sound to travel from the bell to Kang (0.15 s) (b) Average speed of the rock in the air (11 m/s) 7. A person walks for 200 m with an average speed of 1.5 m/s and then runs for 300 m with an average speed of 3.0 m/s. Calculate the (a) Total time of the journey (2.3×10 2 s) (b) The person’s average speed for the journey. (2.1 m/s)

8. A leprechaun walks for 25 s with an average speed of 1.5 m/s and then runs for 40 s with an average speed of 3.0 m/s. Determine the (a) Total distance traveled by the leprechaun (1.6×10 2 m) (b) The leprechaun’s average speed for the journey. (2.4 m/s) 9. A train travels 58 km with an average speed of 77 km/h, waits for 5.0 minutes at a station, and then runs for 30 minutes with an average speed of 64 km/h. Find the (a) Total distance travelled by the train (90 km) (b) Average speed of the train for the whole trip (67 km/h) 10. An executive jet cruises at 700 km/h. If the winds are light, the jet will consume kerosene at a rate of 38.0 L/min. If the jet contains 6640 L of kerosene, calculate the (a) Total time before the jet runs out of fuel in hours (2.91 h)  Hint : Starting with the volume of kerosene, perform a unit analysis by multiplying the volume by appropriate ratios until the only remaining unit is hours (b) Maximum range of the jet (2.04×10 3 km)

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11. The three toed sloth is the slowest moving land mammal. On the ground, the sloth moves with an average speed of 0.037 m/s. On the other hand, the giant tortoise walks at 0.076 m/s. If both start moving from the same position and in the same direction, determine how much further the tortoise would have moved relative to the sloth after a 12 minute time interval. (28 m) 12. Two planes leave the same airport at the same time to fly to the same distant city. Plane A has a speed of 850 km/h and plane B has a speed of 600 km/h. Find the time it takes for the faster plane to get 480 km ahead of the slower plane. (1.92 h)

Lessons 3&4 Practice Analyzing Position-Time Graphs Use the following diagram to answer the next four questions 1. Find the position of the object at 18 s. 2. Determine how long it takes for the object’s displacement to be -40 m. 3. Calculate the velocity of the object at 20 s.  Label the graph appropriately and show all calculations below 4. In your own words, specifically describe the motion of the above object. In your explanation, identify which direction (positive or negative) the object is moving.

Use the following diagram to answer the next four questions 5. Find the displacement of the object between 0 < t < 14 s 6. Calculate the average velocity of the object between 0 < t < 17 s  Show all formulas and calculations below 7. Determine the instantaneous velocity of the object at 8 s  Label the graph appropriately and show all calculations below 8. In your own words, specifically describe the motion of the above object. In your explanation, identify which direction (positive or negative) the object is moving.

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Use the following diagram to answer the next two questions 9. Using the position–time graph shown above, accurately construct a velocity-time graph.  Label the position-time graph appropriately and show all calculations below 10. In your own words, specifically describe the motion of the above object. In your explanation, identify which direction (positive or negative) the object is moving during each unique time interval.

Use the following information to answer the next two questions 11. Using the position – time graph shown above, accurately construct a velocity–time graph.  Label the position-time graph appropriately and show all calculations below 12. In your own words, specifically describe the motion of the above object. In your explanation, identify which direction (positive or negative) the object is moving during each unique time interval.

Part 2 : Analyzing Velocity-Time Graphs Use the following diagram to answer the next two questions 1. Given the velocity-time graph shown above, accurately construct a position-time graph if the initial position of the object is 20 m north .  Label the velocity-time graph appropriately and show all calculations below 2. In your own words, specifically describe the motion of the object. In your explanation, identify which direction (positive or negative) the object is moving during each unique time interval.

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Use the following diagram to answer the next two questions 3. Given the velocity-time graph shown above, accurately construct a position-time graph if the initial position of the object is zero .  Label the velocity-time graph appropriately and show all calculations below 4. In your own words, specifically describe the motion of the object. In your explanation, identify which direction (positive or negative) the object is moving during each unique time interval.

Use the following diagram to answer the next three questions 5. Calculate the acceleration of the object.  Label the velocity-time graph appropriately and show all calculations below 6. Determine the object’s displacement from 5 < t < 10 s .  Label the velocity-time graph appropriately and show all calculations below 7. In your own words, specifically describe the motion of the object. In your explanation, identify which direction (positive or negative) the object is moving. Use the following diagram to answer the next three questions

8. Given the velocity-time graph shown above, accurately construct an acceleration-time graph.  Label the velocity-time graph appropriately and show all calculations below 9. Calculate the object’s displacement from 0 < t < 30 s  Label the velocity-time graph appropriately and show all calculations below 10. In your own words, specifically describe the motion of the object. In your explanation, identify which direction (positive or negative) the object is moving during each unique time interval. Lesson 7 Practice

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1. An object traveling at 60 m/s east accelerates at +3.0 m/s 2 for 9.0 s. Calculate the displacement of the object in this time interval. (+6.6×10 2 m [east]) 2. An object, starting from rest, accelerates at +32 m/s 2 and travels a distance of 1296 m east. Determine the time it takes for the object to travel this distance. (9.0 s) 3. An object travels +1760 m over 10.0 s. If the acceleration of the object was -20.0 m/s 2 , find the initial velocity of the object. (+276 m/s) 4. A vehicle traveling at +60.0 m/s suddenly has its brakes applied, bringing the vehicle to a stop after 4.00 s. Calculate the displacement of the vehicle in this time interval. (+120 m) 5. An object traveling at +100 m/s comes to a stop after moving 200 m east. Determine the time it takes for the object to come to a stop. (4.00 s) 6. A ball traveling at 50 m/s begins to roll up an inclined plane before coming to rest. The ball comes to a stop

80.0 m up the incline. Find the (a) Acceleration of the ball on the inclined plane. (-16 m/s 2 [ down the incline]) (b) Velocity of the ball after travelling up the incline for 2.5 s . (+11 m/s [ up the incline]) 7. A car accelerates uniformly from rest at the rate of +2.0 m/s 2 for 6.0 s. It then maintains a constant velocity for 30 s. Finally, the brakes are applied and the vehicle uniformly accelerates in the negative direction and comes to rest in 5.0 s. Calculate the (a) Maximum speed of the car. (+12 m/s) (b) Total displacement of the car. (+4.3×10 2 m) Lessons 8 & 9 Practice

1. A stone is thrown upward with an initial velocity of +11 m/s. Calculate the (a) Maximum height the stone reaches (6.2 m) (b) Total time the stone is in the air (2.2 s) 2. A person drops a ball from a height of 20 m above the ground. Determine the (a) Velocity of the ball the instant before hitting the ground (-20 m/s [down]) (b) Time it takes for the ball to hit the ground. (2.0 s) 3. A ball is thrown vertically upwards from a window at 10 m/s. If it takes 5.0 s for the ball to hit the ground, find the height the ball was dropped from. (73 m) 4. A stone is thrown straight down from the top of a cliff with a speed of 6.0 m/s. If it takes 3.0 s for the stone to reach the bottom of the cliff, calculate the height of the cliff. (62 m)

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5. An object is dropped from the top of a canyon. How far does the object fall between the fifth and sixth second of falling? (54.0 m) 6. A stone is thrown vertically upward from a 117.82 m high cliff with a velocity of +19.6 m/s. Determine the time it will take for the stone to hit the bottom of the cliff. (7.29 s) 7. A ball is dropped from a height of 3.5 m into the hand of a person waiting below. The ball comes to rest in the person’s hand over a distance of 0.25 m. Find the (a) Velocity of the ball when it first touches the person’s hand. (-8.3 m/s [down]) (b) Acceleration of the ball while coming to rest in the person’s hand (+1.4×10 2 m/s 2 [up])

1D Kinematics Workbook

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