Falling probe A remote sensing probe falls vertically with a terminal velocity of 60 m/s when it encounters a horizontal crosswind blowing north at 4 m/s and an updraft blowing vertically at 10 m/s. Find the magnitude and direction of the resulting velocity relative to the ground.

Q: determine when the motion is in the positive and negative direction ii)find the displacement over…

A: here leading coefficient is 4 which is positive and  the degree of the polynomial is 3 which is odd

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Q: (a) Find the speed of the particle at time t = 4s. (b) Find the acceleration of the particle and…

A: Find the velocity and acceleration.

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Q: Ski Lift A ski lift operates by driving a wire rope, from which chairs are suspended,around a…

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Q: Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball…

A: Here, the initial position is given by position vector, r(0)=81 i +19 j +0 k ft, initial velocity is…

Q: Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed.…

A: Mass = .20kg  Velocity= 4m/s  Momentum= mass × velocity

Q: Determine the maximum height and range of a projectile fired at a height of 3 feet above the ground…

A: Position vector for the projectile motion can be written:r(t) = Vo cosθt i^ + h + Vo sinθt - 12 gt2…

Q: 7. With an initial velocity of 90 ft/sec and an angle of 20°, a bad golfer strikes a golf ball. (a)…

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Q: For an object undergoing simple harmonic motion, its displacement will reach maximum when a) its…

A: Given query is to find the maxiy displacement condition for shimple harmonic motion.

Q: A particle is moving in the velocity of v(t) = . %3D Find the unit tangent of the particle's…

A: Given; v(t)=<6sint,6cost,-3>

Q: v(t)is the velocity of a moving object measured in feet per minute. (a) What does v(t) dt represent?…

A: 14. Given that, vt is the velocity of a moving object measured in feet per minute. (a) From the…

Q: Skydiving A skydiver in free fall subject to gravitational acceleration and air resistance has a…

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Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A: Given that Here AC=25 ft is the length of ladder. y is length of wall and x is the length of base…

Q: 6. A boat is moving with a velocity of 74 km/h with a heading of 060 relative to the water. The…

A: Please refer to the image below

Q: Earth and moon. Find the centripetal acceleration of the moon toward Earth, assuming that the orbit…

A: Here we have given that the orbit of the moon is a circle of radius 3.85×108 m and the time for one…

Q: Solve for the moment of inertia about the x-axis for the shape in the pi

A: Consider the given figure, The total moment of inertia=moment of inertia for semicircle - moment of…

Q: An automobile traveling 58.0 km/h has tires of 69.0 cm diameter. (a) What is the angular speed of…

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Q: 6) A plane leaves the airport on the bearing of 45° traveling at 400 mph. The wind is blowing at a…

A: Note:- “Since you have asked multiple question, we will solve the first question for you. If you…

Q: Student PROJECT A Parachutist in Free Fall Figure 1.30 Skydivers can adjust the velocity of their…

A: As per the guidelines, we are suppose to answer only first 3 subparts. Please repost rest of the…

Q: A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion, the…

A: Given s = 10 − (3 − t)2 0 ≤ t ≤ 5

Q: A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion, the…

A: Equation of position of particle during 5 second is given by s=10-(3-t)2,  0≤t≤5 Initially at t=0…

Q: Consider the following trajectory of a moving object. Find the tangential and normal components of…

A: Given r(t)=11etsint,11etcost,11et

Q: A plane flies at a speed of 380 mph on a bearing of S45°E. Relative to the ground, the plane's speed…

A: Answer:  the following value of plane are given as shown in photo below :

Q: A mixing blade on a food processor extends out 2 inches from its center. If the blade is turning at…

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Q: thrusts upward causing an increase in pressure in the lungs. This is accompanied by a contraction of…

A: a. The function vr=kr0-rr2v We calculate the values as v0=kr0-0·02v0=0 and  vr0=kr0-r0·r02vr0=0 So…

Q: A baseball is thrown from the outfield to home plate. Let's say the outfielder and catcher are 73.9m…

A: Solution: For projectile motion, the position of the particle at time t is given as Where x and y…

Q: Water flows in a pipe. The velocity profile at each section of the pipe is denoted by Equation (*)…

A: (a)Now if there are turns in the pipe, this parabolic profile no longer holds. Instead the velocity…

Q: the figure shown below, find the Moment of Inertia

A: Inertia

Q: Transient Orifice Flow: Water is discharged from a reservoir through a long pipe as shown. By…

A: Given vt2gh=tanht2L2gh and  t=2.5 seconds  v(t)=3 m/s g=9.81 m/s^2 L=1.5 meters

Q: Knowing that the value of the mass of the sun is M = 1.99×1030 kg, from the gravitational constant G…

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Q: A centrifuge in a medical laboratory rotates at an angular speed of 3600 rev/min A) what is the…

A: This question is related to angular speed and time, We will solve it using given information.

Q: Use Hooke’s Law,which states that the distance a spring stretches or compresses from its natural, or…

A: Given Force of 220 N stretches a spring. Distance stretched by spring is 0.12 m .

Q: city's cable cars travel by clamping onto a steel cable that circulates in a channel beneath the…

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Q: A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion, the…

A: a)     b) Initially the particle moves a distance of 9 ft in positive direction, then it reverse…

Q: 4. A projectile is launched at an angle of 30° and lands 22 s later at the same height as it was…

A: Given that A projectile is launched at an angle of 30° and lands 22 s later at the same height as it…

Q: A mass that weighs 8 pounds stretches a spring 6 inches. The system is acted on by an external force…

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Q: In the figure, block A (mass 1.8 kg) slides into block B (mass 2.4 kg), along a frictionless…

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Q: b. An airliner flies northwest at a constant altitude at 550 mi/hr relative to the air in a…

A: Given the velocity of the crosswind in the south direction is w=0,40. The objective is to find the…

Q: Use the model for projectile motion, assuming there is no air resistance and g = 32 feet per second…

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Q: Part A Determine the moment of inertia of the beam's cross-sectional area about the x axis. Set a =…

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Q: -ind the position and velocity of an object moving along a straight line with the given…

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Q: A water container has an open top and is accelerating at a = 4.4 m/s² along a slope with an…

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Q: A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne  147-kg laser…

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Q: ers. (a) Determine the velocity of the bird at t = 5 sec.. (b) Determine the acceleration of the…

A: The velocity is given by the first derivative of the displacement vector The acceleration is given…

Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

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Q: A plane flies at a speed of 380 mph on a bearing of S45°E. Relative to the ground, the plane's speed…

A: The given data is: Speed v=380 mph and Bearing S45∘E Speed v'=335 mph and bearing S40∘E To express…

Q: cable car travels by clamping onto a steel cable that circulates in a channel beneath the streets.…

A:

Q: Consider an object moving along a line with the velocity v(t) = 2 sin(t) in meters per second over…

A: Consider the given function, vt=2sint Now, draw the function.