choose correct answer: A) The velocity is constant at A and the body is at rest at B B)The acceleration is variable at A and the velocity is constant at B C)The acceleration is constant at A and the velocity is constant at B D) The velocity is constant at A and the acceleration is variable at B

Q: A force is specified by the vector F = [(-170)i + (120)j + (-80)k] N. Calculate the angles made by F…

A:

Q: Q11. Consider the vector u, v, w defined by u = (1,1), v= (4,0) and w = (0,3) %3D %3D %3D a) Express…

A: Given: u=(1,1)v=(4,0)w=(0,3)

Q: 4.) Correct of K vector representation for of terms B the velatie. positive normal and tangential…

A:

Q: Consider the motion of a soccer ball that is kicked from the point (xo.Yo) = (0,0) with an initial…

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Q: 2) Consider a bicyclist whose position s(t), in feet, is given by the table where t is in seconds. t…

A: The velocity of bicycle is represented by the derivative of st with respect to t.

Q: a) The position of point moving in space is given by R(t) = 3 tan t i + cott j +2 lnt k, find the…

A:

Q: Let = xi + yj + zk be the position vector to any point P(x,y,z) on a surface $(x, y,z)=c. a) Write…

A: According to question,Given Position vector at Point Px, y, z,r→ = x i^ + y j^ + z k^,ϕx, y, z = c

Q: . Value of t such that vectors a=, b=, c= are coplanar.

A: Value of t such that vectors a=<1, 1, 1>, b=<2, -4, 0>, c=<1, t, 3> are coplanar.

Q: Find the value of a such that the vectors a and b are perpendicular where a = a î - 16 ĵ - 19 k and…

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Q: The acceleration vector points in the direction of motion. O True O False

A: If acceleration is positive then the acceleration vector points in the direction of motion.  But if…

Q: Consider the function f(x,y) = 4x² - 5y² - 5 and the point (1,1). a. Find the unit vectors that give…

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Q: Suppose z is implicitly given by the equation x³y-yz²+ -5 x In a neighborhood of the point P(1, 1),…

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Q: the vectors y₁, y₂, Y3 (where y; E R² V i) must be linearly dependent?

A: Given the vectors y1, y2 and y3 in the vector space R3.

Q: The directional derivative of the functionf(x,y) = x² + 2y2 – 3 from the point P = (-1,2) in the…

A: f(x, y) = x2 + 2y2 - 3 Let fi be the partial derivative of w.r.t i.

Q: 5. For f(x, y) 2x +y v 3i-4j find the rate of change of fat (1,2,6) in the direction of the vector =…

A: rate of change of the function at the given point along the given direction

Q: Q3. For the motion vector r(t) = ti+ In (cos t) j, find (i) The velocity (ii) The speed at t=T Write…

A: Given motion vector is, rt=t i^ +lncost j^ i To find velocity. vt=ddtrt=ddtt i^ +lncost j^=ddtt i^ +…

Q: Find dr Ct) for the vector functions. dt r(t) = (1-2t)it Ct cos t)j -t %3D

A: To find dr(t)/dt

Q: Find the directional derivative of the function f(x,v) at point p in the direction of vector a. 1)…

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Q: 2. For a non-zero vector ü(t), show that 1 dü dt u| dt dû dt where û is the unit vector in the…

A: Let u→ be the vector and |u |→ is the magnitude of u.→ unit vector u⏜ is given by:  u^=u→|u→|…

Q: a) An object is moving in space with an acceleration a(t) = -t i+3j+(t – 3) k. M Find the velocity…

A:

Q: 1. State whether the following are scalar or vector quantities: (a) A temperature of 50 °C (b) A…

A: (a) Temperature possesses only magnitude, as in the given case 50 deg. Celsius but does not have…

Q: 1. A particle starts from rest and has an acceleration function, a(t) = 9-24t m/s?. a) What is the…

A: Velocity

Q: The force exerted by an electric charge at the origin on a charged particle at a point (x, ) with…

A: given F=k rr3 r=xi+yj+zk also r=x2+y2+z2 and given points of straight line 2,0,0 to 2,2,3 claim- to…

Q: Consider one-surface hyperboloid is given by the equation 1. Using the gradient, find the normal…

A:

Q: Let f(x,y,z)=xyz. What is the directional derivative of f in the direction of the unit vector…

A:

Q: be the function f(x, y) = x²y-4x³+2y, the vector v = (5, 12) and u the unit vector of v.…

A: Given; f(x,y) = x2y -4x3 + 2y.

Q: The position of point moving in space is given by R(t) = 3 tan t i+ cot t j + 2 lntk, find the…

A: We will find out the required velocity and acceleration vector functions.