Resultant Questions and Answers

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The water from a fire hose follows a path described by y= 4.0 + 0.4x - 0.20x^2 (units are in meters). If v_x is constant at 10.0 m/s, find the resultant velocity at the point (2.0, 4.0).

A particle moves along the curve y = x - x^2/598, where x and y are in ft. If the velocity component in the x direction is z = 1.85 ft/s and remains constant, determine the magnitudes of the velocity

Vector A has a magnitude of 3.0 units and makes an angle of -90.0 ^o with the positive x-axis. Vector B has a magnitude of 4.0 units and makes an angle of -120^o with the positive x-axis. What is the

A dog walks northeast for 15 m and then east for 25 m. Find the resultant displacement vector by a) the graphical method and b) the component method.

A motorboat heads due east at 16 m/s across a river that flows due north, at 9.0 m/s. a) What is the resultant velocity of the boat? b) If the river is 1.36 km wide, how long does it take the moto

A motorboat heads due west at 10.0 m/s. The river has a current of 6.0 m/s due south. a) What is the resultant velocity of the boat? b) If the river is 2.0E2 m wide, how long does it take the boat

The three displacement vectors in the drawing have magnitudes of A = 5.36 m, B = 6.94 m, and C = 3.86 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of t

What was the angle at which the car left the road if it hit a house at the apex of its flight and traveled 50 feet horizontally and 20 feet vertically?

A dog that can swim at 1.0 m/s jumps in a river that is flowing 3.0 m/s at an angle of N60*E. Solve the resultant velocity vector of the dog if he heads north. What direction is the dog actually headi

During a car race, two cars, a Ferarri and a Mercedes, crashed. The Ferarri was traveling at a speed of 340 km/h and the Mercedes was traveling at a speed of 230 km/h. What is the resultant crash?

An object has three component velocities: 5 mi per hr toward the east, 12 mi per hr toward the south, and 8 mi per hr toward the northwest. Find the resultant velocity of the object.

An aircraft is flying to north with velocity of 350 m per s, aside wind of velocity 100 m per s is blowing due to west. What is the resultant velocity ? What is the direction of resultant velocity? Ho

A force of 20 Newton acts toward the east. Another force of 27 Newton acts at the same point toward the west. What is the magnitude and direction of a third force that produces a resultant of 10 Newto

Find the resultant, in magnitude and direction of a force of 40 N which makes an angle with the +x-axis of 38 degrees and a force of 20 N acting along the +x-axis. Find the x and y components of the r

A plane is heading to a destination 1750 km due north at 175 km per h in a westward wind blowing 25 km per h. At what angle from north should the plane be oriented so that it reaches its destination?

A lightning bug flies at a velocity of 0.25m/s due east toward another lightning bug seen off in the distance. A light breeze blows from the east on the bug at a velocity of 0.25m/s. What is the resul

the sum of the magnitude of two forces acting at a point is 18 and the magnitude of their resultant is 12.if the resultant is at 90 degree with the force of the smaller magnitude, then their magnitude

A car is driven east for a distance of 88 km, then north for 28 km, then in a direction 30 degrees east of north for 25 km. Determine the magnitude of the displacement (in kilometers) of the car from

A man runs 2.7 km north and then 1.3 km in a direction 24 degrees east of north. A woman walks directly between the same initial and final points. What distance does the woman walk? (km) In what direc

Aman walks 5 km due north east, then 4 km due 30 degree north of east and finally 60 degree due south of east for 2 km. What is his final displacement with respect to his starting point ?

A duck is swimming across a river. The duck can swim at maximum speed of 2m\s in still water. If the duck is swimming as hard as possible straight across a river that running at 4m\s,

A girl delivering newspapers travels 3 blocks west, 8 blocks north, then 5 blocks east. 1) What is the magnitude of her resultant displacement? Answer in units of blocks. 2) Find the direction (meas

A plane is heading south with a velocity of 150 km/hr. It experiences a tailwind with a velocity of 20 km/hr. Find the resultant velocity of the plane.

A ship sails north at 15 km / h but drifts westward with the tide at 8 km / h. What is the resultant velocity of the ship?

A boat starting on one side of the river heads to the south with a speed of 1.5 m/s, the river flows to the east at .8 m/s. What is the resultant velocity to the side of the river? And if the river is

A jet airliner moving initially at 300 mi/h due east enters a region where the wind is blowing at 100 mi/h in a direction 26.0 degrees north of east. What is the new velocity of the aircraft relative

A car is driven 30 km west and then 80 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)?

After driving 20.0 km west, a car turns southwest and proceeds another 50.0 km. What is the displacement (in kilometers) of the car from the point of origin (magnitude only)?

If FB = 610 N and theta equals 25 degrees, calculate the magnitude of the resultant fore and its direction measured counter clockwise from the positive x axis.

A car is driven east for a distance of 46 km, then north for 29 km, and then in a direction 29 degrees east of north for 22 km. Determine a) the magnitude (in km) of the car's total displacement from

Suppose you first walk 13 m in a direction 20 degrees west of north and then 23.5 m in a direction 40 degrees south of west. A. What is the component of your displacement in the x-direction in meters

A golfer takes three putts to get her ball into the hole once she is on the green. Her first putt displaces the ball 31.0 ft north; the second, 6.0 ft, 45 degrees south of east; and the third, 3.0 ft,

A particle's constant acceleration is south at 2.1 m/s2. At t = 0, its velocity is 42.6 m/s east. What is the magnitude and direction of its velocity at t = 7.6 s?

A person is kayaking in the ocean at 5.6 m/s 75 to the horizon when he experiences a current of 3.8 m/s 45 south of west. What is the speed and direction of his kayak?

A motor boat due east at 10m/s on a current moving towards S 30 degree W @ 5.0m/s. Find the resultant value of the boat and the direction.

A powerboat heads due northwest at 11 m/s relative to the water across a river that flows due north at 5.9 m/s. What is the velocity (both magnitude and direction) of the motorboat relative to the sho

A novice captain is pointing his ferryboat directly across the river at a speed of 15.7 mi per h. If he does not pay attention to the current that is headed downriver at 5.35 mi per h, what will be hi

A man walks 5 m at 37 degrees north of east then 10 m at 60 degrees west of north.? calculate the magnitude and direction of his displacement.

A plane flies due north (90 from east) with a velocity of 100 km/h for 3 hours. During this time, a steady wind blows southeast at 30 km/h at an angle of 315 from due east. After 3 hours, where will

If a golden eagle is flying due west with a speed of 32 mph, and encounters a wind that blows it north at 11 mph, what is the resultant velocity of the eagle in m/s? At what angle must the eagle be he

A jogger travels a route that has two parts. The first is a displacement A of 2.30 km due south, and the second involves a displacement B that points due east. The resultant displacement A + B has a m

A golfer takes three putts to get the ball into the hole. The first putt displaces the ball 3.32 m north, the second 1.63 m southeast, and the third 0.703 m southwest. What are (a) the magnitude and (

A girl delivering newspapers covers her route by traveling 2.50 blocks west, 3.50 blocks north, and then 5.50 blocks east. Find her displacement and total distance traveled.

A golfer takes two strokes to putt a golf ball into a hole. On the first stroke, the ball moves 4.0 m at an angle 60 degrees East of North. On the second, it moves 3.0 m at an angle 70 degrees South o

Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let a = 100 N and b = 300 N. Round your answers to one decimal place.) magnitude N angle

An airplane flies due north at 160 km\,h' with respect to the air. There is a wind blowing at 80 km\,h' to the east relative to the ground. What is the plane's speed relative to the ground?

A small plane can travel at 200 km/h in still air. If a 50.0 km/h wind is coming from the east, determine the ground velocity of the plane if the pilot keeps the plane pointed [N].

A car travels 15.5 km due north and then 38.6 km in a direction \theta = 74.3^\circ west of north. Find the magnitude of the car s resultant displacement. Answer in units of km.

A pilot heads her plane with a velocity of 275 km/hr north. If there is a strong wind of 130 km/hr blowing east, what is the magnitude of the velocity of the plane in reference to the ground?

While exploring a cave, a spelunker starts at the entrance and moves the following distances in a horizontal plane. She goes 75.0 m north, 250 m east, 125 m at an angle \theta equal to 30.0 deg north

You walk north for 2.5 miles. Then you walk east a distance of 3 miles. How many miles from the starting point are you?

a dog walks 28 steps north and then walks 55 steps west. if the daog walks back to the starting point in a straight line, how many steps will the dog take? find the magnitude of the net displacement

An airplane flies 200 km due west from city A to city B and then 290 km in the direction of 28.0 degrees north of west from city B to city C. (a) In the straight-line distance, how far is city C from

An athlete crosses a 25-m-wide river by swimming perpendicular to the water current at a speed of 0.5 m/s relative to the water. He reaches the opposite side at a distance 40 m downstream from his sta

You are given three vectors. A = 45.6 at \theta_1 = 51.2^o above the +x axis, B = 23.6 at \theta_2 = 32.8^o above the -x axis, and C = 34.0 along the -y axis. Determine A - B + C (magnitude and angle

What is the magnitude of the resultant velocity for a bird flying first at a speed of 10 m/s Northeast and then flying to the south at a speed of 8 m/s?

Kim is in a boat traveling 3.8 m/s straight across a river 240 m wide. The river is flowing at 1.6 m/s. What is Kim's resultant velocity?

Two forces with magnitude of 15 pounds and 35 pounds and an angle of 40 degree between them are applied to an object.

An airplane is traveling at a fixed altitude with a negligible wind factor. the plane is headed N 30 degrees W at a speed of 500 mph. As the plane reaches a certain point, it encounters wind with a ve

How does the resultant of two vectors change as the angle between the two vectors increase?

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