A small airplane is flying due north at 150 km/h when it encounters a wind of 80 km/h from the east. What is the resultant ground velocity of the plane?

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A: Distance function S(t) = -16t2 + 174.24                         @ t=0, S = 174.24 ftacceleration due…

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Q: spherical snowball melts so that its surface area decreases at a rate of 6pi  cm2/min, find the rate…

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A: Solve it in two parts part 1 when ball reaches at height of 288 feet again  we calculate time to…

Q: A glider of mass 250 kg is towed by an aeroplane and the air resistances is equal to 15v, where v is…

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Q: The formula for wind chill C (in degrees Fahrenheit) is given by                           C = 35.74…

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Q: %3D A cyclist rides down a long straight road at a velocity (in m/min) given by v(t) = 400 - 20t,…

A: To determine the distance traveled by the cyclist.

Q: use 4.9t 2 + v0t = s. 29. Downward Speed. A stone thrown downward from a 100-m cliff travels 51.6 m…

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Q: d. Without doing any computations, what do you expect to be the instantaneous velocity of the ball…

A: Since   s(t) = 64 - 16(t - 1)² As we can see that at t = 1 , the above quadratic equation has its…

Q: An airplane is flying at 320 km/h due south and encounters a wind from [S 40° W] at 70 km/h. Find…

A: Given  An airplane is flying at 320 km/h due south and encounters a wind from [S 40° W] at 70 km/h.

Q: Doesn't this solution just ignore the initial height of 3 ft? So shouldn't the answers be slightly…

A: You are right here initial height have to be consider

Q: 2. Airplane A is flying directly toward the airport which is 20 miles away. The pilot notice…

A: From the given details we can draw a figure as below:                           Firstly set up an…

Q: An object is moving along a horizontal line such that its velocity is v(t) = 6t² - 4t. What is the…

A: The objective is to find the displacement between t=0 to t=4.

Q: What is the point on y = 2 Vx that is nearest to (4, 0) ? A) (2 V7.27) B) (2, 2 Vz) C) 2/6 3 D)

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Q: Solve : dy- (- y) . Inn dy %3D ,13-1 Ordinery Dibberential equetion.

A: Solution:Givendydx=(1-y13)x2 ln xy13-1

Q: Find mZB. C 10 10 D mZB %3D Submit

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Q: A glider of mass 250 kg is towed by an aeroplane and the air resistance is equal to15v, where v is…

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Q: [T] Runners start at first and second base. When the baseball is hit, the runner at first base runs…

A: The path from 1st base to 2nd case and that from 2nd base to 3rd base for the legs of a right…

Q: 5. If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height…

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Q: A bullet is fired perpendicularly upward from a gun and at an initial velocity of v0 = 300 m / s.…

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Q: 2wt dt/dw = t2 - 2w3 %3D

A: The given differential equation is 2wtdtdw=t2-2w3.

Q: ): The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t³ – 12t² –…

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Q: The velocity of a plane (km/h) flying into an increasing headwind is v=50(12−t), where t is the time…

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Q: What does dr stand for in terms of r(t)?

A: Given: What does dr stand for in terms of r(t)?

Q: What is the tangent of 0? 6 D 6V11 11

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Q: For a moving object, the force acting on the object varies directly with the object's acceleration.…

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Q: The velocity of an automobile starting from rest is v(t) = 90t/(4t + 10) where v is measured in feet…

A: Given velocity function is vt=90t4t+10  .....1

Q: U varies directly with the cube root of V and inversly with W. How do I make an equation out of…

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Q: On Earth, in the absence of air friction, a rock thrown vertically upward at a velocity of 64 feet…

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Q: Find the velocity and acceleration of a body moving according to the following equation S-ts.1 when…

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Q: A particle moving in a straight line covers a distance of x cm in t second, where x = t³ + 6t² − 15t…

A: Solution is given below

Q: Find the velocity, speed, and acceleration of 7(t) = (- 2t? + 2t, 2t, – 2t? +t +1) v(t) = ( |3(t)| :…

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Q: An object is moving along a straight path that runs north and south .Its velocity, in feet per…

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Q: The velocity of an automobile starting from rest is v(t) = 100t/(2t + 15) where v is measured in…

A: As per the bartleby guidelines for more than one part only one has to be solved. Please upload the…

Q: s(t) = -16t– 8t + 64. %3D a. Determine how long it takes for the ball to hit the ground. b.…

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Q: a(t)=40t^3-10 Find the acceleration when the velocity is 0

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Q: Find mZR. Q 28 28-/2 R mZR = | %3D Submit

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Q: Use Example 4 to calculate -(r x r'), where r(t) = {t, t2 , et)

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Q: The velocity of a particle moving on a straight line is given by v(t) = t^2e^-t meters per second at…

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Q: The velocity v (in feet per second) of a rocket whose initial mass (including fuel) is m is given by…

A: Given :  v=-gt + u lnmm-rt,   t<mrAlso given that :  g=32,…

Q: A small plane travels 120 mph on a bearing of N40°E and encounters a wind of 20 mph acting in the…

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Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to 8 = 112t -…

A: We have to choose correct option

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t3 9t…

A: The posotion of a hummingbird flying along a straight line in t seconds is given by st=2t3-9ta.…

Q: If a ball is thrown vertically upward with an initial velocity of 160 ft/s, then its height after t…

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Q: If Car A is travelling north at 50 km/h and Car B is travelling south at 60 km/h, the velocity of…

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Q: For x and y in meters, the motion of a particle is given by x=t^3−3t,    y=t^2−2t   i don't…

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Q: a cars position is given by s(t)=10+6t+4t^3 t=3 sec what is acceleration at 3 sec

A: The position of a car moving in is given by s(t)=10+6t+4t3  To find acceleration at time t = 3.   To…