calculus 3 8. The position of a particle moving in a circular path is given by...
The position vector r describes the path of an object moving in space. Position Vector r(t) = (cos(t), sin(t), 3t) t = 1 Time (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. a(T) = Submit Answer
A particle is moving along a circular path having a radius of 5.4 in. such that its position as a function of time is given by @=sin 3t, where and the argument for the sine are in radians, and t is in seconds. Part A Determine the acceleration of the particle at 8 = 30. The particle starts from rest at 0 = 0° Express your answer to three significant figures and include the appropriate units. Value Submit Request Answer
tem 19 19 of 20 A particle is moving along a circular path having a radius of 5 in. such that its position as a function of time is given by θ-cos 2t, where θ is in radians and t is in seconds. - Part A 。. Determine the magnitude of the acceleration of the particle when 30 Express your answer to three significant figures and include the appropriate units. 0図? ValueUnits Submit Request Answer Provide Feedback Next >
1. Suppose that the position of one particle at time t is given by x1= 3 sint yı = 2 cost 0<1<21 and the position of a second particle is given by x2 = -3+ cost y2 = 1+ sin 1 0<t<21 (a)Graph the paths of both particles. How many points of intersection are there? (b) Are any of these points of intersection collision points? In other words, are the particles ever at the same place at the same time?...
Thank you 8. A particle travels with acceleration given by a(t) = 2e-tit 5 cos ti-3 sin t k When the particle is located at (1,-3,2) at time t-0 and is moving with a velocity given by v(t)-4i-3j 2k Find a. The velocity and b. The displacement of the particle at any time t>0
Int The velocity of a particle along a path is given by v(t)= fort > 0.6 points each) a. Find the acceleration function of the particle along this path. t b. Find the position function of the particle given that its position at t=1 is 5.
Suppose that the position of one particle at time t is given by Xi= 3 sint Yi = 2 cost 0 < t < 211 and the position of a second particle is given by X2 = -3+ cost y2 = 1+ sin t 0<t<21 (a)Graph the paths of both particles. How many points of ntersection are there? (b) Are any of these points of intersection collision points? In other words, are the particles ever at the same place at...
QUESTION 4 Suppose a fourth field and path: F= <cos(z), sin(z), xy > and r= <sin(t), cos(t), t-> when Osts 21 What does this field look like? What does the path look like? Find ff. dr (use a calculator), what does it represent? Explain.
The position function of a particle wandering about through 3-space is given by r(t) = (2 cos (3t), 3, 2 sin (3t)), for t greaterthanorequalto 0. Describe the motion of this particle during the time interval [0, pi].
A particle moves in an elliptical orbit given by ?⃗=?cos???̂+?sin?? ?̂ where ? and ? are positive constants with ? < ?. Find the speed and acceleration of the particle as a function of time. At what time or times will the acceleration be perpendicular to the velocity? 4. A particle moves in an elliptical orbit given by * = b cos wt î+ c sin wt where b and c are positive constants with c < b. Find the...