6. A payload is launched from a plane at altitude 3000 meters with an initial horizontal and vertical velocity given by the vector m/s. Gravity pulls downward at 10 meters per second-squared. If the object encounters wind resistance proportional to velocity with , find the time and location from drop of the object's ground strike. [Use Excel to plot and estimate the time of impact.]

Q: The 110-lb force P is applied to the 200-lb crate, which is stationary before the force is applied.…

A:

Q: Find a unit vector that is parallel to the line tangent to the parabola y = x2 at the point (6, 36).

A: The parabola y = x2 and the point (6, 36)

Q: Find the tangential and normal components of acceleration for a projectile fired at an angle 0 with…

A: we know that for projectile fired at angle θ with the horizontal tangentialTt and normalNt…

Q: Find the work done in pushing a car a distance of 12 m while exerting a constant force of 300 N.

A:

Q: A particle of mass m is moving under the force of attraction of another particle of mass m1 at a…

A: When a force F is applied to an object of mass m, the position of body changes. According to…

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3x sin(xy)…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: (b) Evaluate the velocity vector and acceleration vector of the object at the given point. %3D %3D…

A: As you mentioned part b is solved

Q: For f(x, y) 5æ sin(ry) at the point (3, 5), the direction in which the maximum rate of change occurs…

A: The objective is to find the direction in which maximum rate of change occurs.

Q: Two ships A and B are moving northeast with peed VA=22 knots, and west with speed VB= 19 knots,…

A: Given: VA=22 knots in northeast VB= 19 knots in west To find: Relative velocity of A with respect to…

Q: Find the velocity and the position vector of a particle that has the given acceleration and the…

A: The objective is to find the velocity and position vector of the particle.

Q: A body of mass m falls from the rest in a medium offering resistance proportional to the square of…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3x sin(zy)…

A: The maximum rate of change of a function f(x, y) at (a, b) occurs in the direction ∇f(a, b)  where…

Q: determine the magnitude of the force exerted by block Y on block X during this acceleration.

A: In this question, we need to find the force exerted by block Y on block X.

Q: Express the velocity and the acceleration of a moving point p(r,0)

A: We have given a curve in polar coordinate : r=1+sin(θ) with θ=t2…

Q: What is the derivative of a function ƒ(x, y) at a point P0 in the direction of a unit vector u? What…

A: For a function z=f(x,y): the partial derivative with respect to x gives the rate of change of f in…

Q: Find a vector equation of the tangent line of f(t) = (cost, sint, t) at the point Po (0, 1,

A:

Q: 7. A 2600-pound truck is stopped at a red light on a hill with an incline of 25°. Ignoring the force…

A: Recall:  Force=w·sin θ We have, w=2600 pounds, θ=25°

Q: A projectile is launched with an initial speed of 140 ft/sec from ground level at an angle of to the…

A:

Q: Find the acute angle that a constant unit force vector makes with the positive x-axis if the work…

A: Given- a constant unit force vector makes with the positive x-axis if the work done by the force in…

Q: 4 3 Compute the directional derivative of the function g(x.y)= sin (T(X – 6y)) at the point P(2,3)…

A:

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3x sin(xy)…

A: To find the Direction in which the maximum rate of change occurs for f(x,y)=3xsin(xy) at point (1,3)…

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) : 5x sin(xy)…

A:

Q: A force with magnitude 35 N acts directly upward from the xy-plane on an object with mass 7 kg. The…

A:

Q: if the velocity function vector v = 3t 1+ tJ- 2k find the acceleration( a). -

A:

Q: 4. A bullet is fired from ground level at a speed of 2200 feet per second at an angle of 30° from…

A: This is a problem related to vector components. Based on the general formula and concept we will…

Q: What would be the resultant force F of the triangular distributed load and its location 'd' measured…

A: Given,

Q: It is known that the acceleration vector for a particle is given by A(t) = 4j + 2tk. Determine the…

A: We need to determine vector equation of curve traced.

Q: An eagle rises in a helical path given by the vector function r(t) =〈250cost, 250sint, 100t〉 where r…

A:

Q: 1)If the 15 kilogram object is resting on a table tilted at 40 °. indicate the decomposition of the…

A: Consider the provided question,

Q: Kinetic energy is vector ylgn O İhi O

A: False

Q: Find the direction in which the maximum rate of change occurs for the functio f(r, y) = 2x sin(ry)…

A:

Q: A particle of mass, m, moves along a straight line while subject to (1) a force proportional to its…

A:

Q: 18. If the equation of the surface is given, the normal unit vector can be determined by A. taking…

A: Let's take the simplest coordinate system. It is known that, divergence in cartesian coordinate…

Q: Find the unit vectors that are parallel to the tangent line to the parabola y = x² at the point (5,…

A: Given: y=x2 at the point (5,25)

Q: A airplane is flying horiZontally due north at 200 miles per hODE when it encounters a horizontal…

A:

Q: Find the maximum rate of change of f(x, y) Maximum rate of change: = In(x² + y?) at the point (3, 1)…

A:

Q: what is the direction of the acceleration vector of a person on the spinning earth if the person is…

A:

Q: 9. A gear of radius 6.1 cm turns at 11 revolutions per second. What is the linear velocity of the…

A: Recall: Linear velocity , v=r ω ; where 'ω' is an angular velocity and ω=2πf

Q: A ball is bounced directly south, with an initial velocity of 10 m/s off the ground, with an angle…

A: Given initial velocity of ball is 10 m/sec. Angle of elevation is 30°. The ball moves at a constant…

Q: Write Newton’s Second Law of Motion for three-dimensionalmotion with only the gravitational force…

A: It is known that, by Newton's second Law of motion the value of force is, F=ma. Or equivalently,…

Q: (#2) Evaluate the directional derivative Duf (3, 4) if f (x,y) = Vx² + y² and u is the unit vector…

A: The expression for the directional derivative of the function f in the direction of u at a point…

Q: Find a unit vector that is normal to the level curve of the function f(x, y) = 5x + 6y at the point…

A:

Q: Find the unit vector u along which the rate of change of the function f(x, y) = x 2 + xy3 at the…

A:

Q: 2. Calculate the instantaneous rate of change of g at the point (4, 1,0) in the direction of the…

A: Please see the attachment

Q: (B) At point (1,5), Find the Vector that is tangent and Normal to the curve: X' = 2y + 10

A:

Q: 5) A ball is bounced directly south, with an initial velocity of 10 m/s off the ground, with an…

A: Consider the provided question, sketch a diagram according to the given question,

Q: Suppose that an object moves in the positive direction along a coordinate line over the interval [a,…

A: Let the object moves in the positive direction along a coordinate line over the interval [a, b] Let…

Q: Find the directional derivative Duf(1, 1), where f(x, y) = x2 + y2 and u is the unit vector at an…

A:

Q: As part of a skydiving course, a diver jumps out of a plane 64 ft above the ground with an initial…

A: To find the velocity of the diver at the moment the diver lands on the ground.

Q: If asked to find the directional derivative of f(r, y) in the direction of a NON unit vector (a…

A: