The position of an object in circular motion is modeled by the given parametric equations, where t is measured in seconds. x=7sin((pi/8)t), y=-7cos((pi/8)t) How long (in sec) does it take to complete one revolution?

Q: 01.23 Consider the two repeated vector products A x (B × C) and (A × B) × Č. Give an example that…

A: Consider the two repeated vector product A→×B→×C→ and A→×B→×C→

Q: Suppose you went for a drive along a long, straight road that runs east-west. Let's define east to…

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Q: What is the speed of a car going v=1.000 mph in SI units? Notice that you will need to change miles…

A: As per the question, the speed of the car is v mph, we have to convert the speed of the car v in SI…

Q: Given two vectors A = -11.3 i + 4.71 j, B = 2.38 i - 12.97 j, find the angle (in degrees) that the…

A: Solution:-

Q: A wheel is rotating at 8 radians per second, and the wheel has a 74-inch diameter. What is the speed…

A: Given: The angular speed of the object is 8 rad/s. The diameter of the wheel is 74 inch.

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

A: Given value---  for planet 1 - a1 = 0.39 AU . T1 = 9.7 year . for planet 2 - a2 = 0.99 AU. we…

Q: A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south…

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Q: What SI unit is the most appropriate to use for the problem given below? A coin is dropped from the…

A: The given problem is based on the unit. We don't need to solve for height, we just need to find the…

Q: Problem 4: Vector A has magnitude 22 and points to the East. Vector B has magnitude 37 and points…

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Q: what is the dimension of A in terms of [L], [M], and [T]?

A: Given data: The acceleration is: a The length is: L meter The mass is: M kg The time is: T sec The…

Q: 5.00 cars pass through an intersection each second. How many cars pass the intersection in 1.00…

A: In 1 year there are 365.25 days.  In 1 days there are 24 hours.  In 1 hours there are 60 minutes.…

Q: Given vector A = (3.00i - 2.00j)m and vector B = (-2.00i + 2.00j)m determine vector C if C = 3A - B.…

A:

Q: The acceleration due to gravity, g, is constant at sea level on the Earth's surface. However, the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you  want any…

Q: L74. A sailor in a small sailboat encounters shifting winds. She sails 2.00 km east, then 3.50 km…

A: The magnitude of the third leg is 2.807 km

Q: Mr. Alexander wants to know the height of a cliff he hiked up. He drops a rock down and it takes 5.5…

A: Time taken by the rock to hit the bottom is T = 5.5 sec Initial velocity of the rock is 0 as it is a…

Q: A high-tech drone flies over Miami, FL in a direction 57.3° west of north with a speed of 34.6 km/h.…

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Q: Convert 150 cm1.5 to an equivalent number of m1.5, given that 100 cm = 1 m   Give your answer to 2…

A: It is given that, 1 cm=10-2 m. It is required to convert 150 cm1.5 into m1.5.

Q: A high-tech drone flies over Miami, FL in a direction 58.3° west of north with a speed of 30.2 km/h.…

A: Let v1 and v2 be the drone’s speed during the fly 58.30 west of north and due north respectively.…

Q: Given that: A=xî + yĵ + zk, determine the value of: îx (fx î) +ĵx (fxĵ) + kx († xk)

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

A: Q 1) The ratio of distance moved is South and East is 2:3. Let them be 2x towards south and 3x…

Q: Vector O is the resultant of vector M = -3.7i + -9.2j + -1.7k and an unknown vector N. Vector O is a…

A: Given M̅ =-3.7î + -9.2 ĵ +-1.7k̂

Q: A) Linear velocity: LT¹¹ V=U + at = 0+1 * 0.5 = 0.5m/s LT-¹= LT 2x T SI unit of distance is metre,…

A: We know, Dimension of mass is [M] Dimension of length(distance) is [L] Dimension of time is [T]…

Q: Given vector A =   and vector B = , what is the component magnitude of vector B in the direction of…

A: Given value---- A = <21, -5, -22> B = <-1, -4, -1> . We have to find--- what is the…

Q: Using the answers from Question 1(a), determine the solutions of the equation (x+1)* = 16(x–1)*…

A: The given equation is: x+14=16x-14 Now, solving the above equation as:…

Q: If you make multiple measurements of your height, you are likely to find that the results vary by…

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Q: For the vectors A and D in Fig. El.28, (a) find the magni- tude and direction of the vector product…

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Q: Express this product in units of km3 in standard scientific notation and with the appropriate number…

A: given that (4.2 km) × (4.0 m) × (13.24 × 10−3 mm)

Q: You are on a treasure hunt and your map says "Walk due west for 23.1 paces, then walk 40.0° north of…

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Q: spelunker is surveying a cave. She follows a pas- sage 180 m straight west, then 210 m in a…

A:

Q: Your character starts at position po. Each frame, it moves along the normalized vector Compute the…

A: Determine, The next position of the character given the indicated parameters p0→=55d→=3-3δt=0.5

Q: Acos = x Asin = y why is it in this problem there is the presence of sin in x and cos in y?…

A: Given, A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a…

Q: 71. A commuter airplane starts from an airport and takes the route shown in Figure P1.71. The plane…

A: Answer= Route A  is 175 km in a direction of 30 degrees north ofeast.A = 175 kmAx = 175cos30  =…

Q: Your answer is partially correct. Horses are to race over a certain English meadow for a distance of…

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Q: vector v is 5 unit in length, and making angle 50 degree (measured ccw from +x axis). It can be…

A: Given,  v= 5 units Angle = 50 degree We need to find, vx=?

Q: The path of a baseball after being hit is modeled by f(x) = −0.007x2 + x + 4, where f(x) is the…

A: The baseball’s path can be described as, Here, x denotes the horizontal distance.

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A: Given that                  x = 110 m           and θ = 31.2°

Q: the x-direction and the y-direction of the displacement vector are Rx = 0.3 mi and Ry = 0.2 mi, what…

A:

Projectile Motion