A ship sets out to sail to a point 133 km due north. An unexpected storm blows the ship to a point 129 km due east of its starting point. (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination?

Q: 7. An airplane heading 275 km/h west while the wind is blowing it 70 km/h north.

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Q: An airplane travels at 4.5 x 10^2 km due east and then travels an unknown distance due north.…

A: Distance is the path covered in total journey.

Q: A dog in an open field runs 10.0 m east and then 30.0 m in a direction 55.0(degree) west of north.…

A:

Q: To find the distance across a river, a surveyor chooses points A and B, which are 197 ft apart on…

A: Solution: GIVEN: Angle A=47° and angle B=70°. Step1: Draw the sketch of the given situation as shown…

Q: Given the following vectors, find the resultant using analytical method: 1. A 50 m at 55 B = 150 m…

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Q: What is the resultant of vectors A=5m West and B=15m 60° North of West using the polygon method?

A: A = 5 m West B = 15 m at 60° North of West Choose a scale as 1 cm = 5 m.

Q: Using the Pythagorean theorem and the graphical method, calculate the resultant vector of the…

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Q: What is the resultant of vector A=5m West and vector B=15m 60° North of West?

A: Draw the vector diagram as:

Q: A hiker leaves his campsite and walks in a straight line for a distance of 1610 m at an angle of 30°…

A:

Q: .• A dog in an open field runs 12.0 m east and then 28.0 m in a direction 50.0° west of north. In…

A:

Q: Given four vectors: 3 newtons 20 degrees south of west; 6 newtons 45 degrees north of west; 4…

A:

Q: If the greatest height reached by a projectile is the 3/4th the horizontal range, what is the angle…

A: In projectile motion, the maximum height attained by an object is given by,

Q: An arrow fired horizontally at 41 km/hr travels 9.9 m horizontally. From what height was it fired?

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Q: In what direction is your friend from the starting point after skiing 2.00 kmkm east and then 1.90…

A: Given data:  Firstly goes 2.00 km east and then 1.90 km north  Required: The direction from starting…

Q: What is the resultant of vector A=5m East and 10m 30° South of West?

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Q: A commuter airplane starts from an airport and takes theroute shown in Figure P1.71. The plane first…

A: The location of the cities is depicted below:

Q: A person walks 15.0° north of east for 3.60 km. How far due north and how far due east would she…

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Q: A and B vectors S. may be defined to be equal if they have the same magnitude and point in the…

A: TWO VECTORS WILL BE EQUAL IF  1-There magnitude are equal, same length 2- there plane and direction…

Q: A person walks 35° south of west for 4.56 km. How far due west and how far due south does the person…

A:

Q: What is the resultant of vector A=5m West, B=10m 30° South of West and C=15m South using component…

A: A = 5 m West, B = 10 m at 30° South of West C = 15 m South  Write the displacements in the vector…

Q: under what circumstances would a vector have components that are equal in magnitude?

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Q: What vector subtracted from 100km North give 200 km North 60 degrees East?

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Q: Yousuf travelled 33 km, South and then 23 km, North. His resultant displacement is

A: Initially the distance travelled in South direction is,                                    X= 33 km…

Q: A person walks 29.0° north of east for 2.40 km. How far due north and how far due east would she…

A: Displacement of person = 2.40 km in a direction 29o north of east

Q: Compute the route of a snail taking 1.9 m displacement at 18 degrees south east

A: The vector diagram of the snail's route is shown below. Here, d is the displacement vector.

Q: An arrow fired horizontally at 41 km/hr travels 1.8 m horizontally. From what height was it fired?

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Q: Vector C has a magnitude of 24.6 m and points in the -y-direction. Vectors A and B both have…

A:

Q: Given vector A with a magnitude of 70 m and a direction of 30° with respect to the positive x-axis…

A:

Q: If one of the two components of a vector is not zero, can the magnitude of the other vector…

A: The magnitude of a vector R in terms of its components Rx and Ry is  Then, magnitude of the both…

Q: What is the resultant of vector A=5m East and B=10m 30° South of East?

A: Analyze the diagram of the system.

Q: If an airplane travelling 80m/s east is flying against wind velocity of 5 m/s west. What is the…

A: Given data:  Velocity of airplane (va) = 80 m/s, East Velocity of wind (vw) = 5 m/s, West Required:…

Q: Starting in Albany, you travel a distance 130 miles in a direction 15.8 degrees north of west. Then,…

A: Analyze the diagram of the given situation. Note: The direction in east and north is taken to be…

Q: A man goes 20m due west and then 15m due north . How far is he from the starting point.

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Q: An arrow fired horizontally at 41 km/hr travels 5.6 m horizontally. From what height was it fired?…

A: Given , horizontal speed = 41 km/hr = 11.39 m/s Horizontal distance travelled = 5.6 m Time it travel…

Q: If a vector v has a magnitude 10.0 and makes an angle of 30° with the positive y-axis, find the…

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Q: A person walks 66˚ west of north for 2.93 km. How far due north and how far due west would she have…

A: Answer  option(1)1.19 km north and 2.68 km west

Q: What is the result of the combination of the component vectors, 92 km/h East and 79 km/h East? a…

A: 3.  v1 = 92 km/h east v2 = 79 km/h east

Q: A person walks 13.0° north of east for 3.00 km. How far due north and how far due east would she…

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Q: What is the resultant displacement when a ship sails 200km due north and then 150km due east?

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Q: A person walks first 10 km north and 20 km east then the resultant distance is

A: Distance is the total length of the path taken by the person. Displacement is the shortest distance…

Q: An airplane takes off from Masipag runway which has a bearing of N 28° E. After flying for 3 miles,…

A: Given: Bearing of runaway, N 28° E

Q: A plane leaves the airport in Manila and flies 170 km east and then changes direction to fly 230 km…

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Q: A person walks 30.0 north of east for 3.80km. How far due north and how far due east would she have…

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Q: Determine the resultant (magnitude and direction) of the following vectors: 80 N, 55 degrees North…

A:

Q: If vector A=[15, 80 degrees] and vector B= 12i - 16j, then what is the magnitude of A-B?

A: Given:

Q: if a is 35.0 meters 47 degrees of south of east and b is 19.5 meters north, what is the magnitude…

A:

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.