A jogger runs 540 m Eastward then runs 320 m Westward, then runs 710m Eastwards and finally 920m Westward. The distance traveled by the jogger is m. The magnitude of his displacement is m in the direction

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A: Coordinates of space shuttle are given: x - coordinate (x) = 7t3…

Q: A woman drives 50 miles to the north. She stops, asks directions, and then drives 50 miles south. If…

A: Given,

Q: Multiple Concept Example 9 deals with the concepts that are important in this problem. A grasshopper…

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Q: A novice golfer on the green takes three strokes to sink the ball. The successive dis- placements…

A:

Q: (a) What is the magnitude (in km) and direction (in degrees south of east) of her displacement…

A: The distance moved by the person towards the south, The distance moved by the person toward the…

Q: A boy walks 4 m South and then walks 7 m at 35 degrees east of south. What is the boy's…

A: d1 →= -4j^ m d2   → = 7m (Sin(35o) i^ - Cos(35o)j^)d2   → = 4 i^ - 5.73j^ mBoy's displacement = d1 →…

Q: Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion Felis…

A: H = 11.1 ft  = 3.38 m Angle of projection = 47.8 oUsing, equation of motion in Y direction Vy2 -…

Q: A hiker walks 50 m east, then 200 m south and finally 400 m west.What is the total distance and…

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Q: Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion—Felis…

A: Given Maximum height H = 12 ft = 12 × 0.3     = 3.6 m

Q: A bird watcher meanders through the woods, walking 1.41 km due east, 1.21 km due south, and 3.91 km…

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Q: A person drives a car west for a distance of 4.00 km and then 2.83 km in a direction 75 degrees…

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Q: A man is lost in a thick forest. Confused and clueless as to what direction to take, he walks a…

A: The net displacement should be zero. A+B+C=0 C=-(A+B) A=5cos25i+5sin25j=4.53i+2.11j…

Q: An object is moving with an initial velocity of 5.8 i m/s and a final velocity 13.8 i m/s. The time…

A:

Q: A man pushes a mop across the floor causing it to undergo two displacements. The first has a…

A: Let's assume first displacement is AB and final displacement is AC as shown in figure. Then the…

Q: A person's displacement can be represented by the following vector, d = 2.75 -3.5j. This is a result…

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Q: A ladybug is trying to get to a certain flower by following this path. She moves 23 cm to the left,…

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Q: A person walks in a following pattern: 3.1 km NORTH, then 2.4 km WEST and finally 5.2 km SOUTH. The…

A: Consider the vertical axis is directed along the north-south direction and the horizontal axis is…

Q: A pilot flies in a straight path for 1h 30 min. She then makes a course correction, heading 11…

A:

Q: +50.0 +40.0 +30.0 A +20.0 +10.0 0.5 1.0 1.5 2.0 2.5 3.0 Time (h) Position x (km)

A: The given values with suitable variables are listed below. Here, xiA denotes the initial position…

Q: A man jogs due east for a distance of 1.42 miles, turns around and goes due west for 3.06 miles, and…

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Q: A truck travels due east for a distance of 1.7 km, turns around and goes due west for 7.5 km, and…

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Q: A dog walks due East for 10.5 meters, then turns around and walks due West for 6.0 meters. What is…

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Q: A person going for a walk follows the path shown in Fig- The total trip consists of four…

A: Given S→1 = 100 i^S→2 = -300 j^S→3 = -150 cos 30° i^ -150 sin 30° j^ = -129.9  i^ - 75° j^  S→4 =…

Q: While vacationing in the prairie you go on a nature walk. First you walk 160 m south, then a coyote…

A: Given Data: First leg of displacement (A→) = 160 m, south.Second leg of displacement (B→) = 260 m,…

Q: You are instructed to travel 12.0 m and then 10.0 m. You use these instructions such that your…

A: TOTAL DISTANCE TO BE TRAVELLED IS   12.0 + 10.0 = 22.0 m given that distance D from initail point is…

Q: Luis is visiting a public garden that has a large, circular path. When he has walked one-quarter of…

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Q: A geologist is surveying a cave. She follows a path 170 m straight West, then 250 m in the direction…

A: The vectors are not added directly or can say algebrically.  They are being added by using…

Q: A person walks 14 m East and then walks 33 m at an angle 13° above the horizontal. What is the…

A: Given, A person walks 14 m East and then walks 33 m at an angle 13° above the horizontal .

Q: A mountain-climbing expedition establishes two intermediate camps, labeled A and B in the drawing,…

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Q: A paper delivery person walks 1.5km (East), then 2.0km (North), then 3.0km (West) and finally 3.0km…

A: Given data:  The displacements of the delivery person d1 = 1.5 km [E], d2 = 2.0 km [N], d3 = 3.0 km…

Q: Ajetliner, traveling northward, is landing with a speed of 68.2 m/s. Once the jet touches down, it…

A: Given data:  Initial velocity (u) = 68.2 m/s Displacement (d) = 750 m Final velocity (v) = 7.16 m/s…

Q: The velocity of a particle is given by the function v(t)=t^2-7t+1027 , where the velocity is…

A: Given Data : The function of velocity is given as vt=t2-7t+10 The displacement of the particle in…

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: The distance traveled in the original direction is given by: distance = speed x time = 640 mi/h x…

Q: A motorist drives south at 24.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.60…

A: The displacement of the driver is shown in the vector diagram below: From the question, d1=-24×3×60…

Q: Morty is supposed to meet up with Rick, who is 50 mi north and 100 mi east of Morty,after exploring…

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Q: A truck travels due east for a distance of 1.2 km, turns around and goes due west for 7.2 km, and…

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Q: A truck drives 20 blocks north, then 15 blocks east, then 8 blocks south. What is its total…

A: Given that, the trucks moves 20 block north, 15 block east and 8 block south, Then the magnitude of…

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A:

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 –