1. After an airplane takes off, it travels 10.4km 15° N of W, 8.7km 60° E of S, 13.2km S What is the resultant displacement of the airplane?

Q: A basketball player runs 7.00 m due north, then 5.00 m in a direction 30° north of west, and finally…

A: Given ,  A = 7 m , North              B = 5m, 300 north of west              C = 8 m east

Q: An object is propelled from the origin with acceleration ? =(4.00?̂+2.00?̂) ?/?2 and initial…

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Q: 2. A paper airplane flies 2.64 m [W 26° N] and then is caught by the wind, which causes it to travel…

A: Given, airplane flying 2.64m Northwest at angle of 26°, after that flying 3.21m to the southeast at…

Q: An airplane heads due south at a speed of 300 km/ h and meets a wind from the west at 100 km/ h.…

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Q: 3. A rocket lifts off its launching pad with a vertical velocity of 20. m/s and horizontal velocity…

A: The magnitude of the resultant velocity is,

Q: 23. An airplane travels due south at an airspeed of 800 km/h. It encounters a wind blowing at 85…

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Q: 10. An airplane is taking off from a runway with an airspeed of 130 km/hr. A car driving at 120…

A: The horizontal component of a plane’s speed will be equal to the car’s speed therefore, vpcosθ=vc

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

A: Given data: Ant travels 30 cm northeast, then 25 cm due north, and finally 15 cm west Need to…

Q: 6. A cannonball launched at 100 m/s reaches a peak height of 127.55 m and reaches a distance of…

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Q: Wile E. Coyote, having missed the Road Runner, leaves the edge of a cliff at 41.0 m/s horizontal…

A: Let us consider the downwards direction as positive. We have given here, Gravitational acceleration…

Q: 4. A runner goes north 500m, turns east for 1200m, and then goes south for 1000m. What is his…

A: As per bartleby guideline , i have solved first question out of multiple questions.

Q: . A sailor in a small boat encounters shifting winds. She sails 8 km suth, then 15 km 30° E of N,…

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Q: 2. A speed boat traveling at 12.0 m/s [N35.0°W] accelerates to reach a final velocity of 14.0 m/s…

A: Given Initial velocity of speed boat = 12.0 m/s N35.0°W Final velocity = 14.0 m/s  N Time taken to…

Q: 3. Sarah walked 5.0 km [E], then another 4.0 km [W 60° N]. Determine her total displacement.

A: The objective of this question is to calculate the total displacement of Sarah's walk. Displacement…

Q: A car travels along the following paths: i) 40 miles, 53.0° Nof E ii) 60 miles, 25° N of W iii) 50…

A: As per given data, First calculating the net displacement and then we can find the direction of net…

Q: 1). distance of 5.3 miles at an angle of 66° north of east. After teaching, I drive to Mauney's Feed…

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Q: A plane is capable of flying 905 km/h without wind. It flies with a heading of [N 22.0° W]. A wind…

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Q: An airplane flies for 10 minutes in a wind blowing 30 km/h at an angle of 20 0 south of east and…

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Q: 5. A ship crosses a river aiming at the angle 9 to the left from the straight course. The speed of…

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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: 2. A car is driven 225 km west and then 98 km southwest (45°). What is the displacement of the car…

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Q: A postman leaves the post office and drives 1.6 km in the north direction. He then drives in a…

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Q: A hiker walks 2.55 km south and then 2.75 km east, all in 4.00 hours. a. calculate magnitude (in…

A: Given, a hiker walks 2.55 km south and then 2.75 km east, all in t=4.00 hours.

Q: 4. A boat travelling at 3.0 m/s through the water keeps its bow pointing north across a stream that…

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Q: A sailboat in Lake Huron is pushed by the wind along a bearing of 130° at 30 km/h. A slight current…

A: Resultant velocity

Q: 10. A projectile is launched with an initial speed of 166.0m/s at an angle of 55.0° above the…

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Q: A truck travels due east for a distance of 1.7 km, turns around and goes due west for 9.2 km and…

A: Total Distance is just the sum of all the distances: D=1.7 km + 9.2 km + 3 km = 13.9 km

Q: 1. Consider a projectile problem. When you use the equations v = vo + at and y = y0 + voyt +gt² you…

A: For projectile motion  The assumptions used are

Q: A postman leaves the post office and drives 1.6 km in the north direction. He then drives in a…

A: resultant of two vectrors is given by  R=R1+R2 first write all the vectors in component form and…

Q: 4. A projectile is launched from 20.0 m above ground level with an initial velocity of a) What is…

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Q: 4. A swimmer is trying to get across the English Channel. She starts off swimming at 1.75 m/s [W 20°…

A: Step 1:We must compute the vector difference between the swimmer's initial and final velocities in…

Q: An airplane pilot wishes to fly directly westward. According to the weather bureau, a wind of 75.0…

A: Given: Velocity of air (wind),VA/G=75 km/hr Velocity of plane w.r.t air, VP/A=310 km/hr Let's define…

Q: A fireworks shell is launched in a level field at an angle of 70 degrees with an initial speed of…

A: Given data, Initial speed = 100 m/s Angle of the projectile = 70o

Q: 5. ssm In diving to a depth of 750 m, an elephant seal also moves 460 m due east of his starting…

A: Displacement is defined as the length of straight line joining the initial and final point. The…

Q: A teacher drives his car at 3 mi N 40o E, then turns 3.8 mi to the West. What is the magnitude and…

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Q: A pilot is required to fly directly from London, UK, to Rome, Italy in 4.5h. The displacement is 1.7…

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Q: Determine the magnitude and direction of the x-component and y-component for each  displacement…

A: The given vector we have: Displacement vector: 32km [N 70o W].   The objective is to calculate the x…

Q: 1. A projectile is shot upward at a 60.° angle with the ground at 65 m/s. a) What is the velocity of…

A: equations to solve the problem: Vertical velocity at time t (Vy) = Vy0 - gt Vertical displacement at…

Q: You fly 32.0 km in a straight line in still alr in the direction 35° south of west. (a) Find the…

A: 3) let East West as x axis , North South as y axis  32km straight in still air 35° south of west

Q: 2. A pilot must fly his plane due north to reach his destination. The plane can fly at 300 km/h in…

A: (a) From triangle law of vector addition.

Q: A football is kicked from ground level with an initial velocity of 23.6 m/s at angle of 53.0° above…

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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.