A diver explores a shallow reef off the coast of Belize. She initially swims d1 = 74.3 m north, makes a turn to the east and continues for d2 = 183.7 m, then follows a big grouper (a kind of fish) for d3 = 73.3 m in the direction θ = 43.9° north of east. Finally, she swims d4 = 193.4 m south.What is the straight-line distance between her initial and final positions in m?

A diver explores a shallow reef off the coast of Belize. She initially swims d1 = 74.3 m north, makes a turn to the east and continues for d2 = 183.7 m, then follows a big grouper (a kind of fish) for d3 = 73.3 m in the direction θ = 43.9° north of east. Finally, she swims d4 = 193.4 m south.What is the straight-line distance between her initial and final positions in m?

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Vectors And Two-Dimensional Motion

Section: Chapter Questions

Problem 4WUE: A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance...

See similar textbooks

Similar questions

A diver explores a shallow reef off the coast of Belize. She initially swims d1 -> = 80.7 m north, makes a turn to the east and continues for d2-> =185 m, then follows a big grouper (a kind of fish) for d3-> = 80. 9 m in the direction Θ = 30.8° north of east. Finally, she swims d4=179.8 m south. What is the straight-line distance between her initial and final positions in m? Can you explain how you got your answer in detail?
A wildlife researcher is tracking a flock of geese. The geese fly 4.0 km due west, then turn toward the north by 40° and fly another 4.0 km. How far west are they of their initial position? What is the magnitude of their displacement?
A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 3.9m to the north, 9.4 m 45° north of east, and 9.5m 50° west of south. Starting at the same initial point, an expert could make the hole in a single displacement. What is the magnitude of this single displacement in meters?
A student drives his car 6.0 km, North before making a right hand turn and driving 6.0 km to the East. Finally, the student makes a left hand turn and travels another 2.0 km to the north. What is the magnitude of the overall displacement of the student?
First, a woman walks 25 m in a direction 49° north of east. Then she walks 23 m heading 15° north of east. Finally, she turns and walks 32 m in a direction 68° south of east. What is the total distance she covers? What is her total displacement?
While exploring a cave, a spelunker starts at the entrance and moves the following distances in a hori- zontal plane. She goes 75.0 m north, 250 m east, 125 m at an angle u 5 30.0° north of east, and 150 m south. Find her resultant displacement from the cave entrance. Figure P3.21 suggests the situation but is not drawn to scale.
= 3.98 m to the north, A novice golfer on the green takes three strokes to sink the ball. The successive displacements of the ball are d₁ d₂ = 2.06 m northeast, and d3 = 1.16 m at 30.0° west of south (see the figure below). Starting at the same initial point, an expert golfer could make the hole in what single displacement? magnitude direction WE S m o north of east d₂ d₁ 30.0° dz
Sarah is traveling 22km due South. She turns 20° S or E for 16km. She then turns due N for 40km, she then moves 14km at 40° S or W. What is her displacement, and direction?
A ladybug is trying to get to a certain flower by following this path. She moves 23 cm to the left, then moves 33 cm at 35.3 degrees North of West (N of W) and then reaches the flower by moving 12 cm at 22.4 degrees North of East (N of E). What is the magnitude of her final displacement?
The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are 0, - 32.0°, e2 = 49.0°, and e3 = 84.0°, and the distances are d= 4.80 m, d2 = 7.30 m, and d3 = 10.0 m. What are the (a) magnitude and (b) angle of the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less than 180°, measured from the +x direction. dy dg (a) Number 9.853 Units (b) Number -123.8 Units (degrees)
Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have mag- nitudes of 3.00 m and vector A makes an angle of 0 = 30.0° with the x axis. Express the resultant Á + B in unit-vector notation.
While vacationing in the prairie you go on a nature walk. First you walk 160 m south, then a coyote chases you 260 m southwest, then you walk 300 m in a direction 40° east of north. First draw an accurate graphical representation of your motion using a ruler and a protractor. Then use either trigonometry or components to find the displacement (in m) that will return you to your starting point by the most direct route.