A rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been drawn. The coordinates (meters) of the rabbit’s position as functions of time t (seconds) are given by x=-0.31t2 + 7.2t + 28 (4-5) and y =0.22t2 - 9.1t + 30. (4-6) (a) At t = 15 s, what is the rabbit’s position vector in unitvector notation and in magnitude-angle notation?

Q: Using the absolute values of West and South to be negative and North and East to be positive…

A: First we trace the directions and the distances taken. Then we find the shortest distance from the…

Q: Consider three vectors: A = , B= , and C = Which of the following inequalities regarding the…

A: Given Data:  Vector A→=1i+2j-1k Vector B→=2i+3j+1k Vector C→=2i-2k

Q: Which group of answers dimentionnaly is correct for the equations given below?

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Q: Problem 5: Two planets are rotating around a star in elliptical orbits. The orbit of planet 1 has…

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Q: A person’s arm rotates around the shoulder (S) and elbow (E) joint axes. The arm has the length a =…

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Q: A person’s arm rotates around the shoulder (S) and elbow (E) joint axes. The arm has the length a =…

A: We have givena=912=9.5 "b=11"θ=43°γ=21°

Q: Part (a) What is the length of the vector A? |A| = sin() cotan() atan() cosh() Hints: 0% deduction…

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Q: Suppose you have three vectors: A⃗=−3i^+6j^ B⃗=2i^−4j^ C⃗=4i^+3j^ What is the magnitude of vector…

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Q: A student wakes up late and runs to school, covering a distance of 2.55 km in the direction of…

A: S

Q: Hi there! can you please tell me why you didn't use a value for m in the first question?

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Q: Starting from one point, a dog walks 25 m in a direction 60° south of west and then walks 50 m…

A: d1→ = 25 m (-cos60oi^ - sin60oj^)d1→ = -12.5i^ - 21.65j^ md2→  = -50 j^ m

Q: Consider two vectors.  a=19.5x+17.5y b=3.9x-4.5y    what is the angle of the vector a-b…

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Q: 6. Determine the equation, which will represent the best line for the following set of data, and…

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Q: Suppose you first walk A = 12.0 m in a direction 20.0 degrees west of north and then B = 20.0 m in a…

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Q: The polar coordinates of a certain point are (r = 3.15 cm, 0 = %3D 262°). (a) Find its Cartesian…

A: The transformation equation for polar to cartesian coordinate is :          x=rcosθandy=rsinθ The…

Q: If A = 3i + 3j and B = 7i + 5j, what is the magnitude of C = A - B

A: Write the given vectors below. A=3i^+3j^B=7i^+5j^

Q: Part (A). You are designing the radar system to track the UFOs appearing in the city. In your setup,…

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Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

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Q: PROBLE A surveyor walks as shown in the figure then due south for 10.0km. What is his total…

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Q: If the velocity of a particle is measured to be 0.5 in natural units(c-1), what is the velocity in…

A: Given: The velocity of the particle, v=0.5 natural unit. Require: Velocity in SI unit.

Q: Write v = (-5, 12) as a product of its magnitude and a unit vec- tor in the direction of v.

A: Given Data: The vector v is given as, v=-5,12   The expression for the unit vector v is,…

Q: a student measures the time of flight of a projectile and gets the following values (in seconds):…

A: A student measures the time of flight of a projectile and gets the following values (in seconds):…

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Q: A car speedometer has a 5% uncertainty. What is the range of possible speeds (in km/h) when it reads…

A: Given:-  The uncertainty of the speedometer of the car is 5 %  The speed of car read by the…

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Q: Use v = (2,-7) and w = (-9,3) to find the quantity. (Give your answer using component form or…

A: The physical quantity, v+5w using standard basis vectors. Given,v=2, -7w=-9, 3

Q: The height yy (in feet) of a ball thrown by a child is y=−112x2+6x+3y=−112x2+6x+3 where xx is the…

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Q: The position of Sarah is given by =

A: This question contains mathematical tools to fid azimuthal angle or displacement.

Q: (b) Refer Figure Q1 (b), identify the direction and plane by using Miller Indices method. (ii) 1/2…

A: (i) The length of the vector (from the initial point of the vector) on the respective axis are :…

Q: Given (Ā× B) - C. B) . Č. (a) Prove that for any three vectors Ā, B, and C, A · (B × C) = (Ả × B)

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Q: E has a magnitude of 21 and is perpendicular to F which has a magnitude of 40. Let X = E + F, let Y…

A: Given data: Magnitude of E vector (E) = 21 m Magnitude of F vector (F) = 40 m Vector E is…

Q: Solve M„VN at (1,1-1) When M = (2yz)i – (x²y)j+(xz²)k and N = 2x?yz3

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Q: -Problem 6: _Suppose you walk 14.5 m in a direction exactly 16° south of west then you walk 22.5 m…

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Q: If the displacement of a point along x-axis is u = 3 mm and the displacement along y-axis is v = 2…

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Q: Assume your hair grows at a rate of 1/44th of an inch per day. How fast is that in nm/s (nanometers…

A: Relation between units of length: 1 inch =2.54×107 nm units of time: 1 day=24×3600 s Grow rate of…

Q: Q3 (a) Express the position vector r=(x,y,z) into cylindrical co-ordinates(r,phi,z). Before…

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Q: The position of a moving particle in vortex is expressed as, x(t) = x0 sin(at3 + bt3/2) where x0is…

A: x(t)=x0Sin(at3+bt3/2)Sin is a transcendental function. Its argument has to be dimensionless.Since…

Q: (b) If H=+uw²x?, then find the value of xH – Hx - 2µ

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.