You pilot an airplane with the intent to fly 392 km in a direction 55.0° south of east from the starting airport. Air traffic controlrequires you to first fly due south for 85.0 km. (a) After completingthe 85.0-km flight due south, how far are you from your destination? (b) In what direction should you point your airplane to complete the trip? Give your answer as an angle relative to due east.(c) If your airplane has an average ground speed of 485 km>h, whatestimated time of travel should you give to your passengers?

Q: A roller-coaster car moves 200 ft. horizontally and then rise 135 ft. at an angle of 30.0O above the…

A: Given that:- Movement of roller coaster car is given in the question.

Q: The pilot of a private plane flies 20.0 km in direction 60° north of east, then 30.0 km straight…

A: The condition given in the question is plotted as given diagram.

Q: Two racing boats set out from the same dock and speed away at the same constant speed of 85.5 km/h…

A: Given Constant speed of the two boats is given as v=85.5 km/h Time of travels is t=0.500 h Angles…

Q: A girl delivering newspapers covers her route by traveling 4.00 blocks west, 6.00 blocks north, and…

A: First displacement of girl Second displacement of girl Third displacement of girl

Q: A plane leaves the airport in Galisteo and flies 170 km at 68.0 east of north; then it changes…

A: Given: A=170 km which is 68o east of north  B =230 km which is 36o south-east  Let R be the…

Q: Oasis B is 7.0 km due east of oasis A. Starting from oasis A, a camel walks 23 km in a direction…

A: Step 1: Draw a diagram of the problem: Step 2: Based on our diagram, we can imagine 2 right…

Q: If you walk 24 m in a direction exactly 35° west of north and then you walk 11.5 m in a direction…

A:

Q: Suppose you walk 11.5 m in a direction exactly 17° south of west then you walk 24 m in a direction…

A:

Q: Oasis B is 25 km due east of oasis A. Starting from oasis A, a camel walks 24 km in a direction 15°…

A: Write the given values of the problem- Oasis B is 25 km due east of oasis A Oasis A a camel makes…

Q: An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be…

A:

Q: You are on a treasure hunt and your map says "Walk due west for 86.1 paces, then walk 50.0 ° north…

A:

Q: A ship starts from an island and sails 22.2 km in a direction 41.6° North of East. It then sails…

A: Given:- A ship starts from an island and sails d1 =  22.2 km in a direction θ= 41.6° North of the…

Q: Instructions for finding a buried treasure include the following: Go 73.0 paces at 235°, turn to…

A:

Q: A chimpanzee sitting against his favorite tree gets up and walks 30.2 m due east and 54.7 m due…

A:

Q: On a winter morning a mailman drives 3.50 due east of the post office to deliver an express package…

A:

Q: Suppose you first walk 12 m in a direction 20° west of north (A) and then 20 m in a direction 40°…

A:

Q: An airplane needs to head due north, but there is a wind blowing from the southwest at 80 km/hr. The…

A: Draw the velocity diagram for the air and plane.

Q: A car starts from the origin and is driven 1.25 km south, then 8.75 km in a direction 57° north of…

A: Given value--- firstly driven 1.25 km south, then 8.75 km in a direction 57° north of east. We…

Q: An ocean liner leaves New York City and travels 15.7° north of east for 145 km. How far east and how…

A:

Q: Suppose you walk 15 m in a direction exactly 19° south of west then you walk 25.5 m in a direction…

A:

Q: A high-tech drone flies over Miami, FL in a direction 57.3° west of north with a speed of 34.6 km/h.…

A:

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

A:

Q: A duck swims 4 m northeast, 3 m 60 degrees, and 5 m at 20 degrees north of west. How far is the…

A: Displacement vector = 4(cos45°i + Sin45°j) + 3(-cos60°i + Sin60°j) + 5(-Cos20°i + Sin20°j)  = (-…

Q: An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be…

A: Actual displacement which the explorer had to travel = 5.5 km , due north first leg of displacement…

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: Instructions for finding buried treasure include the following: Go 71.0 paces at 256 degrees, turn…

A:

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

A:

Q: Ida Haitarun is captain of the Varsity cross country team. During the after-school practice on…

A:

Q: Find the angle θ in ° N of E

A: Kindly note that here when vectors are shifted it is always shifted in parallel. The x and y…

Q: A motor vehicle travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north. Find…

A: Given: Motor vehicle travels 20 km along north & turns 60∘west for 35 km.

Q: You are riding a sailboat in the open sea. Because of the winds in the area, you sail 2.00 km east,…

A:

Q: A hiker's motion can be described by the following three displacement vectors. 22.0 km, 45 degrees +…

A:

Q: Suppose you walk 11.5 m in a direction exactly 17° south of west then you walk 24 m in a direction…

A: To find out how far you are from your starting point, you can use vector addition to determine the…

Q: A frog makes four jumps in a row. The displacement vectors for the four jumps are: (1) 28.0 cm, due…

A:

Q: A Red Cross helicopter takes off from headquarters and flies 90 km in the direction 210° from North.…

A:

Q: Two racing boats set out from the same dock and speed away at the same constant speed of 82.5 km/h…

A: The speed of the two boats are same,The direction of the blue boat south of west,The direction of…

Scalars and Vectors

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