5. An object moving in the x-y plane has a position vector given by: 7 = (2t³ - 5t)i + (6-t¹)ĵ (in meters). Find the particle's a. position vector at t = 0s b. position vector at t = 2s 4 c. displacement vector for this change in position

5. An object moving in the x-y plane has a position vector given by: 7 = (2t³ - 5t)i + (6-t¹)ĵ (in meters). Find the particle's a. position vector at t = 0s b. position vector at t = 2s 4 c. displacement vector for this change in position

Name: 5. An object moving in the x-y plane has a position vector given by:
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Description: 5. An object moving in the x-y plane has a position vector given by: 7 = (2t³ - 5t)î+ (6-t¹)ĵ(in meters).Find the particle'sa. position vector at t = 0sb. position vector at t = 2s4c. displacement vector for this change in position

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 4PE: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your...

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A hiker starts at his camp and moves the following distances while exploring his surroundings: 75.0 m north, 2.50 102 m east, 125 m at an angle 30.0 north of east, and 1.50 102 m south. (a) Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.) (b) Would changes in the order in which the hiker makes the given displacements alter his final position? Explain.
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A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53
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Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B as in Figure 3.55, then this problem asks you to find their sum R=A+B .)
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