A fugutive is resting by a tree when a train passes him, traveling at a constant 6.3 m/s. The fugitive immediately begins running, accelerating at 4.5 m/s² until he reaches his maximum velocity of 7.1 m/s. He continues running at that speed until he catches the train. How long did it take him to catch the train? (Assume the clock started at the instant he began to accelerate.) t = unit How far did he have to run to catch up to the train? Δx = unit

A fugutive is resting by a tree when a train passes him, traveling at a constant 6.3 m/s. The fugitive immediately begins running, accelerating at 4.5 m/s² until he reaches his maximum velocity of 7.1 m/s. He continues running at that speed until he catches the train. How long did it take him to catch the train? (Assume the clock started at the instant he began to accelerate.) t = unit How far did he have to run to catch up to the train? Δx = unit

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 69P: A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0...

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A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.35 m high, and from there it will fall into a pool (Fig. P3.42). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.42
What is the origin of the terms “a.m.” and “p.m.” in our timekeeping?
A simple way of measuring a person's reaction time is to let the person catch a freely-falling ruler or meter stick and then measure the distance from the point where the fingers of the person was placed before the ruler is released to the point where the person's finger was located after the ruler was released. If the distance of fall is 19 cm, what is the person's reaction time? A. 19 s B. 1.9 s C. 0.2 s D. 0.1 s
A car is traveling at 50 mi/hmi/h down a highway. What magnitude of acceleration does it need to have to come to a complete stop in a distance of 200 ftft? Express your answer in miles per hour squared. What magnitude of acceleration does it need to stop in 200 ftft if it is traveling at 100 mi/hmi/h? Express your answer in miles per hour squared.
The figure shows a plot of vx(t) for a car traveling in a straight line. a. What is aav,x between t = 9.00 s and t = 11.0 s? answer in m/s^2 b. What is vav,x for the time interval from t = 9.00 s to t = 11.0 s? answer in m/s c. What is vav,x for the interval t = 0 to t = 17.0 s? answer in m/s d. What is the increase in the car’s speed between 10.0 s and 17.0 s?answer in m/s e. How far does the car travel from time t = 10.0 s to t = 19.0 s? answer in m
We did this problem in class (3.10) and the answer ended up being 1.35 m/s but I'm still confused with the steps taken to get that answer.
Two identical balls undergo a collision at the origin of coordinates. Before collision, their scalar velocity components are (Vx = 42 cm/s, Vy = 0 cm/s) and (Vx = -12 cm/s, Vy = 61 cm/s). After collision, the first ball is standing still. Find the horizontal scalar component of the second ball, expressing your answer in cm/s.
An unidentified flying object (UFO) is observed to travel a total distance of 42000 m, starting and ending at rest, over a duration of 2.07 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2. 39,207 g s 19,604 g s 3,997 g s 1,998 g s
A car travels a distance d = 29 m in the positive x-direction in a time of t1 = 21.5 s. The car immediately brakes and comes to rest in t2 = 7 s.Randomized Variablesd = 29 mt1 = 21.5 st2 = 7 s What was the acceleration, in meters per second squared, during time interval t1, assuming the car started from rest and moved with a constant acceleration? Using the result from part (c), what was the car's horizontal component of acceleration, in meters per second squared, during the braking period?
Alexa's hair grows with an average speed of 3.5 × 10–9 m/s. How long does it take her hair to grow 0.50 m? Note: 1 year = 3.156 × 107 s.
Evan is just leaving his house to visit his grandma. Normally, the trip takes him 25 minutes on the freeway, going 55 mph. But tonight he’s running 5 minutes late. How fast will he need to drive on the freeway to make up the 5 minutes?Express your answer in miles per hour.