An airplane pilot wishes to fly due west. A wind of 72.0 km/hkm/h is blowing toward the south.   If the airspeed of the plane (its speed in still air) is 305.0 km/hkm/h, in which direction should the pilot head? Express your answer in degrees.       What is the speed of the plane over the ground? Express your answer in kilometers per hour.

Q: Water from a fire hose is directed toward a building. The water leaves the hose at a speed of vi =…

A:

Q: A mountain biker encounters a jump on a race course that sends him into the air at 44.8 degrees to…

A: The objective of this question is to find the launch speed of the mountain biker. We can solve this…

Q: A projectile is shot at an upward angle of 35° with a speed of 12.1 m/s. How far does the projectile…

A:

Q: A frog sat on a lily pad on the surface of a lake. The frog jumped from the lily pad onto a flat…

A:

Q: Sam moves South for 1200km then he turns 70° S of E for 500km. What is his direction and…

A: Consider the diagram for the position of San as follows.

Q: 4. A projectile is fired from the top of a 30.0 m high building with an unknown velocity at an angle…

A: The motion of an object which is thrown into or projected into the air is known as projectile…

Q: What's More Resultant Vector of Typhoon Yolanda Identify the velocity of Typhoon Yolanda as it…

A: vector velocity (m/s) x- component y-component 425 km/h SE 118.06 m/s SE 118.06 cos(45)=83.48…

Q: Can you help me with this problem? A bald eagle flies 5.75 m/s north relative to the air. There…

A: here velocity of bald eagle relative to air = 5.75 m/s due north The wind that is blowing east to…

Q: Find the speed and direction of an object with v,= 2.0 cm/s and vy= 3.0 cm/s. O 3.6 cm/s, 56° from…

A: Given data: Vx = 2.0 cm/s Vy = 3.0 cm/s Required:  The speed and direction of the object

Q: An airplane is heading due south at a speed of 590 km/h   . If a wind begins blowing from the…

A:

Q: You are designing a missile defense system that will shoot down incoming missiles that pass over a…

A: Given Angle θ     = 65° Height (h)   = 4.4 km = 4.4×103 m Speed v1 = 734 m/s b                = 0.3…

Q: A relief airplane is delivering a food package to a group of people stranded on a very small island.…

A:

Q: A human archer atop a castle wall shoots an arrow at a velocity of 65 m/s at an angle of 36.9…

A: Launch velocity (u) = 65 msLaunch angle (θ) = 36.9o above the horizontal Time of flight (t) = 5.82…

Q: Your gasoline runs out on an uphill road inclined at 16.5° above horizontal. You manage to coast…

A:

Q: ground. This speed is relative to the air, in the direction in which the nose of the airplane…

A: The reference velocity of the airplane is v→AW=v→W+v→A=25^j^+80cosθi^+80sinθ-j^

Q: A secret agent skis off a slope inclined at θ = 28.3 degrees below horizontal at a speed of v0 =…

A:

Q: A cannon fires a shell traveling 150 m/s in the horizontal direction and 150 m/s in the vertical…

A: Given: The intial velocity of the shell in the vertical direction is 150 m/s. The initial velocity…

Q: A jet airliner moving at 567 mph due east moves into a region where the wind is blowing at 257 mph…

A: Velocity of jet (Vj)= 567 mph east Velocity of wind (Vw)= 257 mph at  62° N of W

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

A: Given: Speed Vo= 20.5 m/s Height h= 53 m

Q: Sylvia rides her bike from her dorm to the gym to keep her body in shape. She travels 3 kilometers…

A: The vector diagram is shown below.

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

A:

Q: Setup with a labeled diagram. Calculate V is m/s and its horizontal Vx and vertical Vy components.…

A: Given data: The aeroplane takes off speed is: V=288 km/h The angle of takes off is: θ=23∘ The…

Q: A sailboat is traveling east at 8.5 m/s. A sudden gust of wind gives the boat an acceleration a =…

A: The initial velocity of the sailboat is 8.5 m/s in east direction. The acceleration of the sailboat…

Q: A hockey puck is moving with a speed of 15.11[m/s] at an angle of 35˚ below the positive x-axis.…

A: Given  The magnitude of the velocity id V = 15.11 m/s. The angle below the positive x-axis is θ=35o.…

Q: A plane wants to head due north. the plain's velocity relative to the air is 100km/hr (N30E) while…

A: To find the ground speed, we need to add the effect of the wind to the plane's velocity relative to…

Q: n aircraft has to fly between two cities, one of which is 600.0 km north of the other. The pilot…

A:

Q: The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send…

A:

Q: A human cannon ball is fired at an angle of 60 degrees and speed of 25m/s. If the net is located 35…

A: Given, A human cannon ball is fired at an angle of 60 degrees and speed of 25m/s.  So,  v0x =…

Q: A jet airliner moving at 628 mph due east moves into a region where the wind is blowing at 253 mph…

A:

Q: A river flows due south with a speed of 2.4 m/s. A man steers a motorboat across the river; his…

A: Given, speed of the river flow, v = 2.4 msvelocity of the man relative to the water,vmw = 3.2…

Q: A car goes east at 90 km/h for 0.75 hours, and then turns on a road heading 30° north of east at 88…

A: Given data The speed of the car in the east direction is vOA = 90 km/h The duration of the car…

Q: 5. A dragonfly moves with a speed of 12 m/s. The x component of its velocity is 8.00 m/s. The angle…

A: Solution:-Given thatspeed of dragonfly (v)=12 m/sx-component of its velocity (vx)=8 m/s

Q: A monster truck launches off a ramp 4.5m high at a velocity of 75m/s 52° above the horizontal.This…

A:

Q: a white tailed hawk flies into the wind at 14.9 m/s at a heading of 10.2 degrees. if the wind is…

A: Understanding the fundamentals of vector addition is required to answer the question. Here is an…

Q: There is a tree in the middle of your front yard and you take pictures of a squirrel as it runs…

A: d1 = 12 m @30o N of E d2 = 7.5 m @15o E of Stime (t) = 20 seconds

Q: A velocity vector has x-component vx = 6.3 m/s and y-component vy = - 2.5 m/s. What is the total…

A: Given: X-component of velocity (Vx) = 6.3 m/sY-component of velocity (Vy) = -2.5 m/s

Q: Passengers on the deck of a boat with a speed of Vs= 20⁡ m/s with the given direction experience a…

A:

Q: A ship sets sail from Rotterdam, heading due north at 7.00 m/s relative to the water. The local…

A: Given that the ship's water speed in relation to the sea is 7 ms, the ocean current's velocity is…

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.