Question

Find the maximum and the minimum speeds of a particle whose motion is described by the...

Find the maximum and the minimum speeds of a particle whose motion is described by the position vector r(t) = < 3cos2t, 2sin2t, t >

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a particle whose motion is constrained to a plane. The motion can be described in...
Consider a particle whose motion is constrained to a plane. The motion can be described in terms of Cartesian coordinates and momenta (x, y, px, py) or in terms of polar coordinates and momenta (r, θ, pr, pθ). The differential volume elements dxdydpxdpy and drdθdprdpθ are related by dxdydpxdpy = Jdrdθdprdpθ. Show that J = 1.
The motion of a particle connected to a spring is described by x = 0.4 cos...
The motion of a particle connected to a spring is described by x = 0.4 cos (pi t) (in meter). a) What is its angular frequency and amplitude (maximum elongation) xmax? b) What is its speed and acceleration at t = 0.167s? c) At what time is the potential energy equal to the kinetic energy?
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the maximum value, at t = 0, moving to the right. The amplitude of the motion is 2.00 cm and the frequency is 1.50 Hz. (a) Find an expression for the position of the particle as a function of time. Determine (b) the maximum speed of the particle and (c) the earliest time (t > 0) at which the particle has this speed. Find...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.10 cm, and the frequency is 1.60 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.)...
A particle of mass 4g is attached to a horizontal spring and set into oscillatory motion...
A particle of mass 4g is attached to a horizontal spring and set into oscillatory motion on a frictionless surface by stretching the spring by 39 cm from its equilibrium length at t=0.00 s. The particle is found to oscillate with a period of 0.88 s. What is the maximum kinetic energy of this system? What is the position of the particle at t=0.29 seconds? What is the velocity of the particle t=0.29 seconds?
A particle moves according to a law of motion , , where is measured in seconds...
A particle moves according to a law of motion , , where is measured in seconds and in feet. Find the velocity at time . What is the velocity after second? When is the particle at rest? When is the particle moving in the positive direction? Find the total distance traveled during the first seconds. Draw a diagram like Figure 2 to illustrate the motion of the particle. Find the acceleration at time and after second. Graph Icon Graph the...
please ASAP!! Suppose that a particle has the following acceleration vector and initial velocity and position...
please ASAP!! Suppose that a particle has the following acceleration vector and initial velocity and position vectors. a(t)  =  5 i  +  9t k,    v(0)  =  3 i  −  j,    r(0)  =  j  +  6 k (a) Find the velocity of the particle at time t. (b) Find the position of the particle at time t.
A particle moves in the xy plane. Its position vector function of time is ?⃑ =...
A particle moves in the xy plane. Its position vector function of time is ?⃑ = (2?3 − 5?)?̂ + (6 − 7?4)?̂ where r is in meters and t is in seconds. a) In unit vector notation calculate the position vector at t =2 s. b) Find the magnitude and direction of the position vector for part a. c) In unit vector notation calculate the velocity vector at t =2 s. d) Find the magnitude and direction of the...
The vector position of a 3.80 g particle moving in the xy plane varies in time...
The vector position of a 3.80 g particle moving in the xy plane varies in time according to r (with arrow)1 = (3i + 3j)t + 2jt2 where t is in seconds and r with arrow is in centimeters. At the same time, the vector position of a 5.45 g particle varies as r (with arrow)2 = 3i − 2it2 − 6jt. (a) Determine the vector position of the center of mass at t = 2.90. (b) Determine the linear...
The motion of cars 'A' and 'B' is described by the figure shown below: car 'A'...
The motion of cars 'A' and 'B' is described by the figure shown below: car 'A' moves with a constant velocity VA = 9.5 m/s and car 'B' speeds up from rest with a constant acceleration rate so it reaches the speed of car 'A' at t = 5 seconds. The acceleration of car 'B', aB =   If initially (at t = 0 ) the cars were at the same position, at what distance relative to the initial point will...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT