2 Kinematics - BC Science Physics 11

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The Four Uniform Acceleration Equations Quick Check Four equations describing uniform acceleration were introduced above. These four equations are extremely useful in this course and in future courses you might take in physics. For your convenience, they are summarized here: (1) v f = v 0 + at (2) d = v0 + vf • t 2 (3) d = v0t + 1 2 at2 (4) v2 f = v2 0 + 2ad 1. What is the initial velocity of a car accelerating east at 3.0 m/s 2 for 5.0 s and reaching a final velocity of 25.0 m/s east? 2. If we assume acceleration is uniform, how far does a plane travel when it lands at 16.0 m/s west and comes to rest in 8.0 s? 3. What is the stopping distance of a car if it accelerates at –9.29 m/s 2 and has an initial velocity of 100 km/h. 58 Chapter 2 <strong>Kinematics</strong> © Edvantage Interactive 2012 ISBN 978-0-9864778-3-6
Investigation 2-3 Measuring Acceleration Purpose To measure the uniform acceleration of an object Part 1 Procedure 1. Figure 2.3.3 shows one way to produce uniformly accelerated motion. (Your teacher may have a different method and will explain it to you.) Remove a 1-m piece of ticker tape from a roll. Pass the tape through a recording timer and tape it to a laboratory cart, as shown in the diagram. A 500 g mass is attached to the cart by a 1 m string that passes over a pulley. The force of gravity on the mass accelerates both the mass and the cart. 2. For best results in this experiment, there should be no slack in the ticker tape before the cart is released. One partner should place the hanging mass over the pulley, and hold onto the cart so that it does not accelerate prematurely. When all is ready, simultaneously turn on the timer and release the cart. �� Figure 2.3.3 Apparatus setup for Part 1 �� 3. Your finished ticker tape record will look something like the one in Figure 2.3.4. Often there is a smudged grouping of dots at the start, so choose the first clear dot and label it the “0th” dot (Figure 2.3.4). On your tape, mark clearly the 0th dot, 6th dot, 12th dot, 18th dot, 24th dot, and so on until you have at least six time intervals. The timer has a frequency of 60 Hz. This means it makes 60 vibrations each second. The time interval between dots on your tape is 1/60 s. If you use a time interval of six dots, this is 6/60 s or 1/10 s. In other words, an interval of six dots is the same as 0.10 s. �� Figure 2.3.4 The beginning of the tape may have a smudged group of dots. © Edvantage Interactive 2012 ISBN 978-0-9864778-3-6 Chapter 2 <strong>Kinematics</strong> 59
Page 1 and 2: 2 Kinematics By the end of this cha
Page 3 and 4: The ∆ sign is important because i
Page 5 and 6: Quick Check If you make a long jour
Page 7 and 8: Sample Problem 2.1.2 — Solving Mo
Page 9 and 10: Investigation 2-1 Measuring the Spe
Page 11 and 12: 6. If your car moves with a steady
Page 13 and 14: Sample Problem 2.2.1 — Calculatin
Page 15 and 16: By inspection, the y-intercept, b,
Page 17 and 18: 4. A racing motorbike’s final vel
Page 19 and 20: Sample Problem 2.3.1 — Determinin
Page 21: Calculating Distance from Uniform A
Page 25 and 26: Concluding Questions 1. (a) What wa
Page 27 and 28: 5. An aircraft starts from rest and
Page 29 and 30: Sample Problem 2.4.1 — Free Fall
Page 31 and 32: Quick Check ��
Page 33 and 34: Chapter 2 Review Questions 1. What
Page 35 and 36: 11. A woman biker (leader of the lo
Page 37 and 38: Chapter 2 Extra Practice 1. The spe

2 Kinematics - BC Science Physics 11

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