I need the answer as soon as possible A particle is moving along a spiral path, andif its cyclical velocities change with timeaccording to the following relationship:R.A, -B ,Z. ctZ- ct%3DWhere A, B, C are constants Find thevelocity and acceleration vectors asfunctions of time t Also found the anglebetween the velocity and accelerationvectors in timet = 1

Answered: Image /qna-images/answer/fe4acf3a-5cc2-4dc3-9ba9-a634aeadaba6.jpg

A particle is moving along a spiral path, and if its cyclical velocities change with time according to the following relationship: R.A,-B,Z.ct Z= ct Where A, B, C are constants Find the velocity and acceleration vectors as functions of time t Also found the angle between the velocity and acceleration vectors in time t = 1

A particle is moving along a spiral path, and if its cyclical velocities change with time according to the following relationship: R.A,-B,Z.ct Z= ct Where A, B, C are constants Find the velocity and acceleration vectors as functions of time t Also found the angle between the velocity and acceleration vectors in time t = 1

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter2: Motion

Section: Chapter Questions

Problem 19E: A person drives a car around a circular, level cloverleaf with a radius of 70 m at a uniform speed...

See similar textbooks

Similar questions

A projectile is launched at an angle of 30 and lands 20 s later at the same height as it was launched. (a) What is the initial speed of the projectile? (b) What is the maximum altitude? (c) What is the range? (d) Calculate the displacement from the point of launch to the position on its trajectory at 15 s.
How to find the angle at any time, t, through out a projectile motion?
What is the approximate direction of the acceleration of the particle when it is at #3? Do not worry about the magnitude. The correct answer is B but I am unsure as to why.
An astronaut on Mars kicks a soccer ball at an angle 45 ̊of with an initial velocity of 15 m/s. If theacceleration of gravity on Mars is 3.7 m/s2, (a) what is the range of the soccer kick on a flat surface? (b) What would be the range of the same kick on the Moon, where gravity is one sixth that of Earth?
Show, using graphical vector addition, that the acceleration vector for an object in uniform circular motion points toward the center of the circular path. Use the factthat acceleration in two or more dimensions is defined as
A particle travels along a helical path with arc length given as (cos2t, sin2t, √5 t), where t ∈ [0,4π] Find: a. The velocity of the particle. b. What is the distance traveled by the particle?
An object is projected straight upwards with an initial velocity U. If T is the time taken to return to the point of projection, H is the maximum height and g is the acceleration due to gravity, derive how to solve for: (a.) time of flight, T, and (b.) the maximum height, H, that the projectile can achieve.
Use a graphing utility to generate the trajectory of a paper airplane whose equations of motion for t ≥ 0 arex = t − 2 sin t, y = 3 − 2 cos t Assuming that the plane flies in a room in which the floor is at y = 0, explain why the plane will not crashinto the floor. [For simplicity, ignore the physical size of the plane by treating it as a particle.] How high must the ceiling be to ensure that the plane does not touch or crash into it?
I. If s’(t) = v(t), and s’’(t) = a(t), use the fact that integration reverses differentiation (+C) and the given information about s(t) to find the particular solution to the following problem. If a model rocket’s velocity is given by a(t)= -32 m/s2 and v(0)= 10 and position at 1 second is 1,000 m, find s(t). Hint: Integrate a(t) to find v(t), then integratev(t) to find s(t), finding each C using the given info.
The man at A wishes to throw two darts at the target at B so that theyarrive at the same time. If each dart is thrown with a speed of 12.0 m/s, determinethe angles θC and θD at which they should be thrown and the time between eachthrow. Note that the first dart must be thrown at θC (> θD), then the second dart isthrown at θD
For a particle moving in 3D along a helix curve given as p(t) = α cos ωti+α sin ωtj +γtk,where α, γ, ω are some constants:(a) Show that the speed of the particle is constant.(b) Find out the angle between the velocity and acceleration vectors.
A particle is projected at an angle of 60 degree and a velocity of 70 m/s and taking gravity as 10m/s^2? a. Compute the maximum height of a particle. b. find the equation of trajectory. c. fnd the height of the particle when the horizontal distance is 70 m. h. Find the horizontal distance distance when the height of the particle is 100m.