A walker sees a rock fall from the top of a steep cliff and notices that it takes 1.5 seconds for the rock to fall the final third ( or 1/3) of the way. a) What is the height of the cliff in meters? b) In part (a) you get two roots to a quadratic equation and use one of them for your answer. What does the second root represent?

A walker sees a rock fall from the top of a steep cliff and notices that it takes 1.5 seconds for the rock to fall the final third ( or 1/3) of the way. a) What is the height of the cliff in meters? b) In part (a) you get two roots to a quadratic equation and use one of them for your answer. What does the second root represent?

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 44P: Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units,...

See similar textbooks

Similar questions

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
Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44
Find the horizontal and vertical components of the 100-m displacement of a superhero who flies from the top of a tall building following the path shown in Figure P1.40. Figure P1.40
Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length per time, and radius r has the dimension of length. Which of the following expressions may be correct? Explain your answer in each case. a. a = vr b. a = v/r c. a = v2/r d. a = v/r2
A walker sees a rock fall from the top of a steep cliff and notices that it takes 1.5 seconds for the rock to fall the final third ( or 1/3) of the way. a) What is the height of the cliff in metres? b) In part (a) you get two roots to a quadratic equation and use one of them for your answer. What does the second root represent?
set up an equation, and solve the problem. Working together, Dan and Julio can mow a lawn in 12 minutes. Julio can mow the lawn by himself in 10 minutes less time than it takes Dan by himself. How long does it take each of them to mow the lawn alone?
To get to his office from home, Greg walks 5 blocks north and then 2 blocks east. After work he meets some friends at a cafe; to get there he walks 3 blocks south and 6 blocks west. All blocks are 660 feet long. What is the straight-line distance from the cafe to his home? Express your answer in feet.
Suppose you went for a drive along a long, straight road that runs east-west. Let's define east to be the positive x direction. From your home, you drive east at 30. mi/hr to your friends house for 20. minutes, then at 48 mi/hr east for 10. minutes to the grocery store. Finally, you drive west at 60. mi/hr without stopping to get home. How many minutes will it take to drive from the grocery store to your home (at 60. mi/hr)? Note: Your answer should have the correct number of significant figures
Paleontologists use the function W(x) = 4√/2x to estimate the walking speed of a dinosaur, W(x), in feet per second, where x is the length, in feet, of the dinosaur's leg. What is the walking speed of a dinosaur whose leg length is 6 feet? Express the answer in simplified radical form. Then use the function's graph to estimate the answer to the nearest foot per second. Walking speed (feet per second) feet per second. (Round to the nearest whole number as needed.) Dinosaur Walking Speeds W(x) = 4√2x Write the walking speed of a dinosaur whose leg length is 6 feet as a simplified radical. feet per second. (Simplify your answer. Type an exact answer, using radicals as needed.) Use the graph to estimate the walking speed of a dinosaur whose leg length is 6 feet. Leg length (feet) [0.25,1] by [0,30,2] Q Q
A river flows in a straight line from East to West. Two friends Jack and Jill live on the same side of the river 6 miles and 9 miles north of the river. Jill lives 3 miles north and 10 miles east from Jack. One morning Jill called Jack and asked him to get a pail, collect some water from the river and then come to her house. What is the minimum total distance Jack has to travel to do this?
Starting from the origin you walk 7.3 m North, then 3.4 m East, then 3.7 m North, then 7.4 m West and finally 5.2 m South. What is the distance between your starting point
Tom Cogwagee Longboat, of the Six Nations of the Grand River, is one of Ontario's best known distance runners. In 1907, he set a new Boston Marathon record, beating all of the previous decade's champions by almost 5 minutes! If he ran the 39.2 km course in 2 hours, 24 minutes and 24 seconds, what was his speed? HINT: we'll need our units to be metres per second - what do you need to convert in the question? 0.221 m/s O 0.272 m/s O 4.52 m/s O 17.5 m/s