A cyclist rides 3 km west and then turns around and rides 2 km east. (a) What is her displacement? (b) What distance does she ride? (c) What is the magnitude of her displacement?

Q: A chauffeur heads south with a steady speed of  v1 = 24.0 m/s  for  t1 = 3.00 min,  then makes a…

A: Given data: The steady speed of chauffeur heads south is v1=24.0 m/s. The time of travel of…

Q: The figure shows the path taken by a drunk skunk over level ground, from initial point i to final…

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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: In pursuit of both adventure and treasure, the pirate Jack Sparrow sails his ship on the open ocean.…

A: The ship starts at x= +400 km, y= -200km and undergoes three displacements D1, D2 and D3. Initial…

Q: A rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The…

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Q: A cross-country skier skis 1.0 km north and then 2.0 km east. How far and in what direction is she…

A: Given values: Diplacement along north, sn→=1.0 km Displacement along east, se→=2.0 km

Q: Nathalie travels north 5 miles and then goes west 3 miles before coming straight back south 2 miles.…

A: Given Information:- Nathalie first travels 5 mi North then goes 3 mi west and then straight back 2…

Q: A person going for a walk follows the path shown in the figure, where y, = 312 m and 0 = 66.0°. The…

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Q: A jogger runs 540 m Eastward then runs 320 m Westward, then runs 710m Eastwards and finally 920m…

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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 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: What are the direction and magnitude of your total displacement if you have traveled due west with a…

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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 the figure, where y, magnitude 328 m and e =…

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Q: A bus driver heads south with a steady speed of v, = 20.0 m/s for t, = 3.00 min, then makes a right…

A: (a) The distance traveled by the bus driver is shown below. The total displacement in x-direction…

Q: The figure shows the path taken by a drunk skunk over level ground, from initial point i to final…

A: d1 = 4.80 m d2 = 7.30 m d3 = 10.0 m θ1 = 32.0°, θ2 = 49.0°, and θ3 = 84.0° S1 = (d1 cosθ1) i + (d2…

Q: A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude…

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Q: What is the resultant displacement of a car that travels 2 km north and then turns and travels 4 km…

A: Car travels 2km north and then 4km east as shown in below figure . Resultant displacement can be…

Q: A car travels 12km due west, 15km due south and 45 km in a direction 50° north of east. Calculate…

A: Vectors: A vector is quantity which has both magnitude and direction.Magnitude defines the size of…

Q: A taxicab moves five blocks due north, five blocks due east, and another two blocks due north.…

A: First displacement  : 5 blocks North Second displacement : 5 blocks East Third displacement : 2…

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: displacement vector is 21 km in length and is directed 60 degrees S of E. Which of the following is…

A: X component of a vector Ax = A Cos θ  y component of a vector Ay = A sinθ

Q: The position of an object as a function of time is given by r = (3.2t + 1.5t2)i + (1.7t -2.0t2)jm,…

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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 -…

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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: Hwang Yeji walks 600 m East, then turns 400 m North, and finally walks 300 m West. What is the…

A: OA = 600m East AB = 400m North BC = 300m West

Q: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…

A: Given: x=(18.0 m/s)ty=(4.0 m/s)t-(4.90 m/s2)t2

Q: Ana runs southeast at constant velocity, with velocity components Vx = 5.6 m/s, Vy= −1.4 m/s.  What…

A: Magnitude of a velocity is given as  v = √(vₓ² + vy²)          ....(1)

Q: A bear searching for food wanders 35 meters East then 20 meters North. Frustrated, he wanders…

A: Displacement vector is, d→=dE→+dN→+dW→+dS→=35 mi^+20 mj^+-12 mi^+-6 mj^=23 mi^+14 mj^

Q: nd the magnitude and direction of the esultnat of three displacement having omponents (3,2)m,…

A: Let us consider three displacements (D1),(D2) & (D3) having components (3,2)m, (-5,3)m &…

Q: A particle starts from the origin of a three-dimensional coordinate system and undergoes two…

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Q: athlete runs 2.76 km east, then turns 30 degrees south and runs another 0.85 km. What is the…

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Q: A person going for a walk follows the path shown in the figure, where y, = 302 m and 0 = 54.0°. The…

A: Displacement is the shortest path between the initial and final position. It is a vector quantity.…

Q: A particle is moving in three dimensions and its position vector is given by; 7(t) = (1.9t² + 2.1t)…

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Q: An explorer in the dense jungle of equatorial Africa leaves her hut. She takes 60 steps 30° South of…

A: in phase 1 her displacement in terms of vectors is r1→=60(cos30oi-sin30oj) in phase 2 her…

Q: A girl delivering newspapers covers her route by traveling 3.75 blocks west, 5.00 blocks north, and…

A: (a) Net x-displacement (east-west) = -3.75+7.25 = 3.5 blocks east. Net y-displacement (north-south)…

Q: Sheila is captain of the Varsity cross country team. During the after-school practice on Tuesday,…

A: Draw the position diagram for Sheila and her team as shown below:

Q: The position vector 7 = 4.70t|i+ let + ft2 is in meters, t is in seconds, and factors e and f are…

A: The angle of direction of motion is written as θ=tan-1vyvx Where, vy is the velocity in y direction…

Q: A boat moves so that its position vector, r metres, at time t seconds is given by r = 2t - i+ 2tj 10…

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Q: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…

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Q: 1.25 * A postal employee drives a delivery truck along the route shown in Fig. E1.25. Determine the…

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Q: For each of the three pairs of positions listed in the following table, determine the magnitude and…

A: Given Data: a) Initial position, x0=+2.5 m     Final position, x=+6.5 m b) Initial position, x0=+5.6…

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

A: Given Mario first displacement in North direction  d1 = 8 km Mario second displacement in west…

Q: Directions: Below are the formula in solving for the height and range of a projectile. Match the…

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Q: A person going for a walk follows the path shown in the figure, where y, = 254 m and 0 = 56.0°. The…

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Q: A chauffeur heads south with a steady speed of v₁ = 20.0 m/s for t₁ = 3.00 min, then makes a right…

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.