A bug travels directly north for 4.0 m, followed by 2.0 m at 30o South of East, and finally 3.0 m directly west.
Sketch these three vector displacements.
Break each vector into their components and find the total displacement.
Bonus: What is the magnitude and direction of the total displacement?
A bug travels directly north for 4.0 m, followed by 2.0 m at 30o South of...
A motorist drives south at 40.0 mi/h for 6.00 min, then turns west and travels at 50.0 mi/h for 9.00 min, and finally travels northwest at 60.0 mi/h for 5.00 min. For this trip, find the magnitude of the displacement vector, in miles. (Assume east is the positive x direction, and north is the positive y direction.) Answer: Check Determine the average speed, in m/s. Answer: Check
A motorist drives south at 22.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.20 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 6.20 min trip, find the following values. Let the positive x axis point east. (a) total vector displacement m (magnitude) ° south of west (b) average speed m/s (c) average velocity m/s (magnitude) ° south of west
Let A⃗ = (3.0 m, 20 ∘ south of east), B⃗ = (2.0 m, north), C⃗ = (5.0 m, 70 ∘ south of west). Use a coordinate system with the x-axis to the east. Find the direction of D⃗ =A⃗ +B⃗ +C⃗ .
Directions given are north south east and west As shown in the diagram below, a soccer player kicks a ball directly toward the goal along a displacement vector r, which has a length of 9.4 m and a direction 30 degrees east of south. Alternatively, she could have kicked it to a second player standing directly in front of the goal along a displacement ry, who could have then kicked it to the goal along a displacement vector rx as...
A treasure map instructs you to walk 30.0 m south, followed by 73.0 m east, then 64.5 m north, and finally 28.5 m east. Determine the magnitude of your total displacement, if you follow these instructions. Calculate the answer in meters (m) and rounded to three significant figures.
The route followed by a hiker consists of three displacement vectors , , and . Vector is along a measured trail and is 2730 m in a direction 40.0 ° north of east. Vector is not along a measured trail, but the hiker uses a compass and knows that the direction is 33.0 ° east of south. Similarly, the direction of vector is 22.0 ° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or + + = 0. Find the...
The route followed by a hiker consists of three displacement vectors , , and . Vector is along a measured trail and is 2730 m in a direction 40.0 ° north of east. Vector is not along a measured trail, but the hiker uses a compass and knows that the direction is 33.0 ° east of south. Similarly, the direction of vector is 22.0 ° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or + + = 0. Find the...
A treasure map instructs you to walk (25.0+A) m south, followed by (18.0+B) m east, then 64.5 m north, and finally 28.5 m east. Determine the magnitude of your total displacement, if you follow these instructions. Calculate the answer in meters (m) and rounded to three significant figures. A = 8 B = 18
2 (25 Points) A displacement of 10 miles West and 3 miles North is followed by a displacement of 3 miles directed at an angle of 10° East of due North. a. What is the magnitude of the two (Round to the nearest tenth of a mile. displacements combined? b. What is the direction of the two displacements combined? (Round to the nearest tenth of a degree relative to due North.) c. Are the two displacements orthogonal (perpendicular)? How can...
A hiker travels 2 km due east of his starting point. Then he travels 1 km northwest. Finally, he travels 3 km due north. How far is the hiker from his starting point after the 3 displacements and in what direction? Draw the three displacement vectors to scale and add them graphically Find the magnitude and direction of A, B and A + B for A = -4i – 7j and B = 3i – 2j . Describe the following...