In order to hike around a portion of Lake Allatoona, a tour guide determines that he must take his group 150 m east, 60 m north, then 75 m west. What is the displacement of the tour group from its initial to final  position on opposite sides of the lake?

Q: A river has a constant current of 3 kilometers per hour. At what angle to a boat dock should a…

A: Current speed, v1 = 3 km/hr Speed of the boat, v2 = 25 km/hr Let v be the resultant speed of the…

Q: A soccer ball is kicked 8m north. Then a teammate kicks it 6m east into the goal. What is the soccer…

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Q: In the narration below, what is the magnitude of the resultant displacement of the student? To reach…

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Q: Two motorboats A and B are heading south and east with speeds of 30 m/s and 50 m/s respectively.…

A:

Q: Arvin the Ant is on a picnic table. He travels 30 cm eastward, then 25 cm northward, and finally 15…

A: Consider the figure below.

Q: What is the displacement and distance of a student who walks 32 m to the right and then 17 m to the…

A:

Q: man walks 95 km East the 55 km North. Calculate his resultant displacement and direction.

A: Displacement is the shortest length of path .

Q: Pan am Flight 7 was one of the famous planes to disappear into the Bermuda Triangle, which is en…

A: Consider the unit vector along the east-west axis to be i and the unit vector along the north-south…

Q: It describes the motion of a particle by lines of sight from an arbitrary origin to the successive…

A: Position Vectors: Position Vectors are vectors that specify the position of the body in reference to…

Q: You walk 55 m to the north, then turn 60° to your right and walk another 45 m. How far are you from…

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Q: A ball on a porch rolls 60 cm to the porch’s edge, drops 40 cm, continues rolling on the grass, and…

A: Consider the diagram given below,

Q: A postal employee drives a delivery truck along the route shown in Figure. Determine the magnitude…

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Q: A man walks and has a total trip consisting of four straight-line paths as follow: Path A is 70.0…

A: Given Path A is 70.0 m, due East. Path B is 290.0 m, due South. Path C is 120.0 m, 30.0° South of…

Q: A man walks and has a total trip consisting of four straight-line paths as follow:   Path A is…

A: Given  Path A=120m 30 south of west Path B 190m 60 North of west

Q: a man walks 5m east, 2m north, 4m west, 8m south, and finally 3m east, What is the magnitude of his…

A: Given:  A = 5 m East  B = 2 m North  C = 4 m West  D = 8 m South  E = 3 m East

Q: A man wishes to cross due west on a river which is flowing due north at the rate of 3mph. If he can…

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Q: items 5 - 6, refer to the situation: A biker rides north for 15 km from his starting position, then…

A: Given data: Biker rides 15 km, towards North Then 16 km, towards West Required: Magnitude and…

Q: Instructions for finding a buried treasure include the following: Go 75.0 paces at 215°, turn to…

A: Given that, it goes 75 paces at 215 0, then turn to 1150 and walk 140 paces and then travel 100…

Q: A group of hikers sets out going 10.0km [N], then 15.0km [E], then 4.0km [S]. The entire trip takes…

A: Given:  x1=10.0km [N] = 10.0 y^  km x2=15.0km [E] = 15.0 x^  km x3=4.0km [S]=-4.0 y^  km

Q: A car travels 20 km west and then 20 km south. What is the magnitude of its displacement vector? O…

A: The magnitude of the displacement vector is 28 km

Q: You found a treasure map and it said Start at the well, go 100 m straight south, then 30 m, 40…

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Q: As a test of orienteering skill, your physics class holds a contest in a large, open field. Each…

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Q: A novice golfer on the green takes four strokes to sink the ball. The successive displacements are…

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Q: A diver explores a shallow reef off the coast of Belize. She initially swims d1 = 74.3 m north,…

A: The vector representation of total travelled distance is,

Q: A sailboat sets out from one point for a point 90.0 km due north. The sailor, however, ends up 50.0…

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Q: What is the resultant displacement of your classmate if he walks 10 km north and then 12 km in the…

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Q: The position vector of a particle changes with time according to the relation 7(t) = 15t2 î + (4 –…

A:

Q: CALARS AND VECTORS: ario leaves his house and walks 8 km North then proceeds 6 km West. Determine…

A: Displacement is shortest distance between initial and final position.

Q: A sailboat sets out from one point for a point 90.0 km due north. The sailor, however, ends up 50.0…

A: Let O be the point where sailboat initially is and P be the point of its destination, 90 km due east…

Q: Ali exits the front door of his home and walks along the path shown in the diagram at the right (not…

A: To calculate Ali's net displacement, horizontal and vertical displacement are calculated separately.…

Q: A man walks 8 km north and then 5 km, 60 degrees E of N. His resultant displacement from his…

A: Let us write the given value in vector notations Distance traveled initially: s1→ = 8 km along north…

Q: A hiker backpacks to a waterfall that is 1500 m east and 2000. m north of his starting position.…

A: The displacement vector is represented as, D→=1500 i^+2000j

Q: A postal employee drives a delivery truck along the route shown in Figure. Determine the magnitude…

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Q: In diving to a depth of 325 m, an elephant seal also moves 204 m due east of his starting point.…

A: Introduction: In physics physical quantity can be represented in two ways. One in which by providing…

Q: What is the displacement from mile marker 105 on I-10 to mile marker 32 on I-10?

A: Given:  d = 105 mile  d' = 32 mile

Q: To get to the kitchen from her bedroom, Maria walks 3 m north and then 4 m East. What is the total…

A: Given data: The distance travelled by Maria in north direction is d1=3 m. The distance travelled by…

Q: A ship travels 55 nm on a bearing of 27° and then travels a bearing of 117° for 140 nm. What is the…

A: If displacement of the particle is in x-y plane. Then net displacement is d =x2+y2 Diagram of the…

Q: A car travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north, as shown in…

A: Given, A car travels 20.0 km due north, 35.0 km in a direction 60∘west of north

Q: Mr. M is walking to Mr. T’s house. He take the shortcut across an open field. His first displacement…

A: Given Data : The first displacement of Mr. M is given as D1 = 140 m. The second displacement of Mr.…

Q: Meredith leaves the office, drives 26km due North, then turns onto a street and continues in a…

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Q: man walks 95 km East the 55 km North. Calculate his resultant displacement and direction

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Q: If an airplane travels 60.0° north of east for 145 km, how far east and how far north did it travel?…

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Q: You are to make four straight-line moves over a flat desert floor, starting at the origin of an xy…

A: a. the resultant x component is equal to the sum of the x components of individual displacement. So…

Q: A novice golfer on the green takes four strokes to sink the ball. The successive displacements are…

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Q: Lea walks 20m north, 35m east, 10m north, and then 6m west before stopping. What is her displacement…

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Q: A bird flies straight northeast a distance of 95.0 km for 3.0 h. With the x-axis due east and the…

A: Given values:- distance,(d)=95 km -----(1) time taken,(t)=3 hr ------(2) Now the x-axis due east and…

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –