3) A particle is moving along the surface of a vertical cylinder. The motion is described by the relationships: r = A, 0 = 2nt and z = B sin(2nnt). In these equations A and B are constants and n is an integer. What is the magnitude of the velocity of the particle at an arbitrary time t? Take g = 9.81 m/s² when you need to use it.
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- How do you find the constant A?3. A plane is travelling with a velocity relative to the air of 3.5 × 10² km/h [N 35° W] as it passes over Kitchener-Waterloo. The wind velocity is 62 km/h [S]. a) Determine the velocity of the plane relative to the ground. Ans: 3.0 × 10² km/h [N42° W] b) Determine the displacement of the plane after 1.2 h. Ans: 3.6 × 10² km [N 42° W]A particle P starts at time t = 0 s at the polar position x = -15 m y = 8 m. The velocity of the particle is written in the polar basis associated with its current position, and is: v = 2ê, m/s. If we have final and final, then we can find final and final with: X final symbolic expression X = ? m, yfinal ? Give your answers in symbolic form. You should use the scalar variables r_f and theta_f. Functions are available like sin(), cos(), atan2(), sqrt(), and log(), as well as the mathematical constants pi and e. The regular arithmetic operators are +, -, *, and /, and x^y means x to the power of y. 5t + k would translate to 5*t+k. Now, find the final Cartesian position of the particle at time t = 2. symbolic expression m, y = ? m m
- A high diver leaves the end of a 5.5 mm high diving board and strikes the water 1.2 ss later, 3.5 mm beyond the end of the board. Considering the diver as a particle, Part C Determine the maximum height reached. Express your answer to two significant figures and include the appropriate units. Part D Determine the magnitude of the velocity v⃗fwith which she enters the water. Express your answer to two significant figures and include the appropriate units. Part E Determine the angle of the velocity v⃗f with which she enters the water. Express your answer to two significant figures and include the appropriate units.I need part d and eA group of hikers sets out going 10.0km [N], then 15.0km [E], then 4.0km [S]. The entire trip takes 4.00h. Determine the magnitude hikers' velocity for the trip. 4.04 km/h [N 21.8° E] 5.25 km/h [N 21.8° E] 7.25 km/h [N 21.8° E] 21.0 km/h [N 21.8° E] 65.25 km/h [N 21.8° E]
- tem b Two soccer players, Mia and Alice, are running as Alice passes the ball to Mia. Mia is running due north with a speed of 7.00 m/s. The velocity of the ball relative to Mia is 3.70 m/s in a direction 30.0° east of south. U= 3.78 μA Part B m Submit Previous Answers Request Answer S X Incorrect; Try Again; One attempt remaining 195] ΑΣΦ ? What is the direction of the velocity of the ball relative to the ground? Express your answer in degrees. 15.12 You have already submitted this answer Enter a new answer. No credit lost. Try again. Submit Previous Answers Request Answer north of east2. The velocity of a particle is given by v = {14t?î+ (4t + 3)j + 6t³k} m/s, where t is in seconds. If the particle is at the origin when t = 0, determine the magnitude of the particle's acceleration when t = 3 s. Also, what is the x, y, z coordinate position of the particle at this instant?y 2. When the skier reaches point A along the parabolic path in Figure, he has a speed of C m/s which is increasing at 2 m/s?. n Determine the direction of his velocity and the direction and magnitude of his acceleration at this instant. Neglect the size of the skier in the |A В т 2 calculation -В т A=6 B=6 C=5
- questions g,h,i3. A small object moves on a circle of radius R = 7.87 m. The speed of the object as a function of time is v = c1*t, where c1 = 4.84 m/s². %3D → t=0 R a. The object starts at t = 0 on the positive x-axis and moves counterclockwise around the circle. When the object has an angle a = counterclockwise, what is the direction of the instantaneous velocity vector (with respect to the positive x-axis, measured counterclockwise)? 16.3 degrees with respect to the positive x-axis, measured b. What is the magnitude of the instantaneous acceleration vector at timet= 1.05s?Hi, I'm stuck with this question