11. An airplane heading 300 km/h [N45°W] encounters a wind of 70 km/h [S5°E]. Determine the resultant ground velocity of the plane. Ans:

Q: ぶd Use he Sinen graph below to fex)dx by using seomedic areas.

A: Given: The graph of function as To find: ∫08fxdx by using geometric areas.

Q: The 4.9 m long ropes of a swing make an initial angle of 12.2 degrees with respect to the vertical…

A: Given that The 4.9 m long ropes of a swing make an initial angle of 12.2 degrees with respect to the…

Q: lating linear velocity v and angular velocity w for a circle of radius r is

A:

Q: S Kirk visits Yellowstone ground, and the geyser ca irk stands 200 feet from t angle of elevation to…

A: Draw the diagram to understand the conditions given in the question.

Q: The displacement (in me line is given by the equa measured in seconds. Fi t = a, t = 1, t = 2, and

A: given s = 1t2velocity of the particle is given by v(t) = dsdt

Q: In conclusion, state the relationship between the mass of the spherical object and the distances…

A: Keeping the distance relative to the ramp constant, it is observed that the knockback distance of…

Q: If airplanes A and B are moving southwest with peed VA=550 mph, and northwest with speed VB= 459…

A: Given that the plane A and B are moving southwest and northwest with speed 550 mph and 549 mph…

Q: Find orthogonal trajectory to the curve given by r = a(1 + cos θ)

A:

Q: 4. A car is on a driveway that is inclined 20° to the horizontal. If the car weighs 3225 lb, find…

A:

Q: 3. A ladder 14 ft long is leaning against a fence 8 ft high, with the upper end projecting over the…

A: Find the changing rate of anlge

Q: The equation of the tangent line to the curke x? + y = 36, at (6,-16) is %3D y = (x+6) + 16 16 16 16…

A: we have to find the equation of the tangent line to the given curve at (6, -16)

Q: At the 2015 NFL combine, Byron Jones set a new record in the standing long jump. During his record…

A: Find your answer below

Q: Suppose that these two lines are the paths of two particles. If t and s measure ime in seconds, and…

A: We have given the equations of two lines : l1 : x,y,z=2+2t,8+t,10+3t l2 : x,y,z=5+s,12-2s,17-s…

Q: A projectile is launched at an angle of 30° and lands 20 s later at the same height as it was…

A:

Q: (b) In the same figure, find the electric flux through the plane surface if 0 = 60°, E = 350 N/C,…

A:

Q: GD and GF are common external tangents with points of tangency at D, C, F and E. Why is AGBF AGAE?…

A:

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:

Q: A plane flies 1.2 hours at 150 mph on a bearing of 10°. It then turns and flies 6.8 hours at the…

A: NOTE: Refresh your page if you can't see any equations. . a plane flies 1.2 hours at 150mph on a…

Q: Suppose I am in a boat and I travel at the bearing N80°E at 33 knots for 5 hours. At the end of the…

A:

Q: Et eNcise the fo is linemr OTDE which of eii> +* - 1ogx dy

A: Given some differential equation. We need to find which of the following is linear differential…

Q: Two planes leave the Minneapolis-St. Paul International Airport at approximately the same time. One…

A:

Q: A ball is thrown from a height of 6ft at an angle of 60 degrees with the horizontal. If the ball…

A: Initial Speed in horizontal directionux= v cos 600initial speed in vertical directionuy = v sin…

Q: A projectile is fired from the origin over horizontal ground at an initial speed of 500 m/sec and a…

A: formula used: r=v0cosαti+v0sinαt-12gt2j   it is given that, v0=500α=60°g=9.8t=10

Q: In figure 8, water flows through a 6.0 cm diameter pipe at 8 cm/s. The pipe then narrows downstream…

A:

Q: At 2:00pm a car's speedometer reads 30mph, and at 2:10pm it reads 40mph. Use the Mear Value Theorem…

A: Let the time 2:00 PM be the initial time, And the time 2:10 PM be the final time instant, The…

Q: Find the exact length of the curve. y = In(sec(x)), OsxSa/4

A: Length of a curve f(x) in interval [a,b] is given by ∫ab1+(f'(x))2dx

Q: A plane travels from point A on a bearing 150° to a point B 10 km from A as illustrated above. How…

A: We are given the following information. We need to find AC.

Q: 1. Andrew is trying to land a plane, the plane descends at a steady rate. When it is 22 ground miles…

A: The height of the plane is AC= 2.2 miles. The distance of the plane from the airport is AB= 22…

Q: An airplane flew from Quezon whose latitude is 14 deg N and longitude of 121 deg 30 mins E on a…

A:

Q: A shot putter threw an 8 Ib 13 oz shot 62 ft, 2 in. Assuming the shot putter launched the shot at a…

A: answer is in next step

Q: The tip of the minute hand of a clock is 4.4 in. from the center of the clock.  Find the linear…

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

Q: (16) Say, a guy dumped by his (only) girlfriend. He wants to jump off from a building of 240 ft.…

A: Consider the provided question, (a) Solving for horizontal and vertical velocity components. As the…

Q: Find an equation of the tangent(s) to the curve with paramnetric equations ¤ = 1+ VE, y = e" at the…

A:

Q: 5 Locate the bijurcotion values jor the one-param eter jamily dy- ytly+a and draw 1. values jor the…

A:

Q: A yo-yo which is 3 inches in diameter spins at a rate of 5000 revolutions per minute. How fast is…

A: Rounds per minute = 5000 To Find:    Speed of the edge of yo-yo spinning in miles per hour…

Q: suppose the angry bird is shot from the slingshot with an initial velocity of 55 ft per sec, 11 feet…

A:

Q: Find the motion of the mass-spring system in Fig. 72 with mass 0.125 kg, damping 0, spring constant…

A:

Q: Exercises 37 and 38 refer to the baseball diamond (a square of side 90 ft) in Figure 16. Second base…

A:

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A: I am going to solve the given problem by finding the arc length of the given parametric curve to get…

Q: 2) The sweep second hand of a watch is 15.0 mm long. What is the linear velocity of the tip?

A: Length of tip  r=15 mm

Q: What is the integrating foc tor of the equation %3B

A: Topic:- differential equations

Q: A kite, 120 ft above the ground, is moving horizontally at a rate of 10 ft/sec. At what rate is the…

A:

Q: DA particle moves along a line with velocity IG ? at tim 4++3

A: To find the distance travelled by the particle for the given time period.

Q: An airplane is flying in the direction 25° west of north at 800 km> h. Find the component form of…

A:

Q: A 360-kilogram go-cart is driven at a speed of 60 kilometers per hour around a circular racetrack of…

A: Given that r=12 mdsdt=60kmh=60×100060×60ms=600003600msm=360 kg

Q: An airplane is flying in the direction 25° west of north at 800 km/h. Find the component form of the…

A:

Q: If x represents the average velocity of a plane in still air and y represents the average velocity…

A: If x represents the average velocity of a plane in still air and y represents the average velocity…

Q: "ind the orthogonal compliment to S = span{

A: Here we have to find the,

Q: The 35-kg boy is sliding down the smooth spiral slide such that his z coordinate decreases 2 m per…

A: Solution is in step 2

Q: A sod roller of radius 14.25 cm turns at 10 revo What is the linear velocity of the roller in meter…

A: Please refer to the image below

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.