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: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A: Coordinates of space shuttle are given: x - coordinate (x) = 7t3…

Q: The drawing shows an exaggerated view of a rifle that has been 'sighted in' for a 91.4-meter target.…

A:

Q: Given the two displacements D= (6.00î + 3.00ĵ – 1.00R)m E = (4.00î – 5.00ĵ + 8.00k) Find the…

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Q: A turtle ambles leisurely, as turtles tend to do, when it moves from a location with position vector…

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Q: Given A= 2i - 3j and B= 5i + 4j find the magnitude and direction of (A x B)

A: Answer Magnitude=23 Direction = k

Q: Rev is taking a walk following these magnitudes and directions: 11km North and 11km East. what is…

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Q: The pilot of a private plane flies 20.0 km in direction 60° north of east, then 30.0 km straight…

A: The condition given in the question is plotted as given diagram.

Q: The acceleration of a particle moving only on a horizontal xy plane is given by d = 6tî + 7tj, where…

A: The given values are, a→=6ti^+7tj^ m/s2r→=15.0i^+35.0j^ mv→=6.40i^+3.30j^ m/st=5.60 s

Q: To find the distance across a river, a surveyor chooses points A and B, which are 197 ft apart on…

A: Solution: GIVEN: Angle A=47° and angle B=70°. Step1: Draw the sketch of the given situation as shown…

Q: Part A A = -2.00î + 6.003 and B= 5.00å – 3.003. Express your answer in degrees. ANSWER: Part B A =…

A:

Q: Part A A =-2.00 + 6.00j and B=5.00i – 3.003. %3D Express your answer in degrees. Vη ΑΣφ Submit…

A: Dot product of A.B = AB cos(theta)

Q: A commuter airplane starts from an airport and takes the route shown in Figure P3.17. The plane…

A: Using the given figure- The displacement vector of the airplane from point O to A,…

Q: In pursuit of both adventure and treasure, the pirate Jack Sparrow sails his ship on the open ocean.…

A: The ship starts at x= +400 km, y= -200km and undergoes three displacements D1, D2 and D3. Initial…

Q: From a boat sailing due north at 16.5 km/h, a wrecked ship K and an observation tower T are observed…

A: Drawing the diagram will help us to understand the problem. So , let's see the diagram. After that…

Q: One day, Sofia goes hiking at a nearby nature preserve. At first, she follows the straight, clearly…

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Q: A person first takes one walk and then another, as described by two displacement vectors A and B: A…

A: Ax=2mAy=4mBx=5mBy=3m

Q: We have two vectors A=(57.8, 12.5 degrees) and B=(19.0, 140.3 degrees). What is the x-component of…

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Q: A ball is thrown at an initial height of 50 feet at an initial velocity of 65 feet/second at an…

A: The given values are, h0=50 ftV0=65 ft/sθ=75°y=-16t2+V0sinθt+h0x=V0cosθt

Q: On a sunny day in Pampanga hot air balloon festival is being held, a balloon is ascending at the…

A: We use the formula h=h0+uyt-12gt2

Q: A rocket ship has a position given by  x=bt^2  meters. In order for it to reach a velocity of 3,000…

A: Position of rocket ship is given by : x = b×t2Final velocity (v) = 3000 m/s distance moved (d) =…

Q: A stone is dropped from top of a building that is 19.6 metres from the ground. Before the stone…

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Q: Most days after lunch, I like to take a stroll around campus ( given it’s not too hot ). Suppose on…

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Q: If an object is located 20m to the right of the origin at 1:00 PM, and later the object is located…

A: The smallest distance between any two journey points is defined as displacement.

Q: Vector A had a magnitude A=4.8 and direction theta = 163.4 degrees measured counterclockwise from…

A: x- component =?

Q: A person riding in a subway train drops a ball from rest straightdownward, relative to the interior…

A:

Q: The drawing shows an exaggerated view of a rifle that has been 'sighted in' for a 91.4-meter target.…

A:

Q: An athlete completes one round of a circular track of diameter 200 m in 40 s. If he continues to…

A: Given Diameter (d) = 200 m Radius (r) = 100 m Displacement is defined as the shortest distance…

Q: To determine the height of a bridge above the water, a student drops a coin and measures che time it…

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Q: In a game of lawn chess, where pieces are moved between the centers of squares that are each 1.00 m…

A: The position of the knight after it moves two squares forward and one square rightward is The…

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: Write the given values, and determine the height at t=1 s. u=34 ft/sy=34t-14t2y1=341-1412=20 ft

Q: A physics student stands on a cliff overlooking a lake and decides to throw a baseball to her…

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Q: Destroyer A leaves the port of origin and stations itself 20 km to the north. On the ot hand,…

A: location A = 20 km due north location of B = 10 km due south west

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A:

Q: Three vectors A, B, and C. A = 5.0 m, towards 60 degrees below +x B = 6.0 m, towards +y C= 1.0 m,…

A: Given value--- Three vectors A, B, and C. A = 5.0m , towards 60 degrees below +x B = 6.0m towards…

Q: A commuter airplane starts from an airport and takes the route shown in Figure P3.19. The plane…

A:

Q: In a computer game, an  airplane starts at (1, 6) (in cm) on the curve  y=5+(1.6t+1)^−1.3and moves…

A: Given that: Initial co ordinate (1,6) in  cm y=5+(1.6t+1)-1.3 cm vx=1.6 cm/s

Q: Magnitude & Direction 8.6m @ 51.46ragel y-component 7.00 m Vector x-component 5.00 m -2.10 4.99 9.00…

A:

Q: In a computer game, an airplane starts at the (x,y) coordinate (1,5) in cm on the curve…

A: Consider the given equation. On differentiating the above equation with respect to t, we have, At…

Q: A ball is released from rest at the top of an incline whose height 8.5 centimeters and base 54.9…

A: Given: The height of the incline is h = 8.5 cm = 0.085 m. The base of the incline is b = 54.9 cm =…

Q: Part A. Ax=4.90 m, Ay= -1.80 m. Express your answer in degress Part B. Ax= 4.90 m, Ay= 1.70 m.…

A: Angle = tan-1(Ay / Ax)

Q: X-component of the resultant velocity of the ship, U sx + Vwx - 27.7128 + 15.9747 - 11.7381 km Ux…

A: The answer is below

Q: Explain the solution on|how to solve this step by step ? Given: 15000ft/s 1200 miles R = v² sin(20)…

A: In the question, we are given the range and the initial speed of the projectile and are asked to…

Q: An object's position in the X-direction as a function of time is given by the expression; x(t) = 5t2…

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Q: A rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The…

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Q: You are to make four straight-line moves over a flat desert floor, starting at the origin of an xy…

A: a. the resultant x component is equal to the sum of the x components of individual displacement. So…

Q: If at t=0s , the object is 12m to the left of the originn, what is its position at t = 5 s?…

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Q: Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction…

A:

Scalars and Vectors

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