Help please, tq [2 marks] [13 marks] QUESTION 3 The velocity vector, v(t) of a particle...
(1 point) Given the acceleration vector a(t) = (-4 cos (2t))i + (-4 sin (2t))j + (-3t) k , an initial velocity of v (0) =i+ k, and an initial position of r (0)=i+j+ k, compute: A. The velocity vector v (t) = j+ . B. The position vector r(t) = j+ k
Suppose the initial velocity of a particle is given by v(O)=(-1,0,0) and the acceleration is given by a(t)=2cos 2t i-2 sin 2t j+2tk. (1) Find the velocity vector function, v(t). (3 Marks) Find the scalar normal component of acceleration, at trī. (7 Marks)
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) (4t, 2 sin(t), cos(2t)) 5(0) (0, 5,5) r(t) Preview Preview Preview The position of an object at time t is given by the parametric equations Find the horizontal velocity, the vertical velocity, and the speed at the moment wheret - 4. Do not worry about units in this problem. Horizontal Velocity - Preview Vertical Velocity- Preview Preview peed- Find the position vector for...
The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0. r(t) = sin (3t) i + In(31 2 + 1)j + V32.1k os Oo 4 Moving to the next question prevents changes to this answer.
12. The angular position of the particle is (t)= 2 + 3t+ t(rad), its angular velocity at t = 3s is: * 5 (8 Points) none of them 22 1/s 16 1/s 25 1/5 9 1/3 13.A 2.50-kg particle moves in the xy plane with a velocity of v = 3 i +5k (m/s). Determine the angular momentum of the particle in Js, when its position vector is r = 7 i (m): * (7 points) 87,5j 21j none of...
please answer question 4-7 Prove the arithmetic properties of the Cross Product 1. 2. a. Line L1 is parallel to the vector u Si+j, line L2 is parallel to the vector u-3i +4j and both lines pass through point P(-1,-2). Determine the parametric equations for line L1 and Lz b. Given line L:x(t)-2t+8,y(t)-10-3t. Does L and Ls has common 3. a. Find the equation of the plane A that pass through point P(3,-2,0) with b. Given A2 be the plane...
Please help with 3, 4, and 5. Really need help with all 3 problems please. Page 2 of 5 Name 3. (8 points) Find the position of n moving particle whose acceleration at time I is given bw the vector function a(t) = -costi - & sin(21) j. the initial position is given by the vector r(0) = li. and the initial velocity is given by the vector v(0) -i + 4j+k 1. (6 points) Describe the graph of the...
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) = (2+, 4 sin(t), cos(5t)) v(0) = (-3, -5,0) 7(0) = (-5,2, - 1) F(t)
A particle moves in the plane with position given by the vector valued function r(t)=cos^3(t)i+sin^3(t)j MA330 Homework #2 particle moves in the plane with position given by the vector-valued function The curve it generates is called an astrid and is plotted for you below. (a) Find the position att x/4 by evaluating r(x/4). Then draw this vector on the graph (b) Find the velocity vector vt)-r)-.Be sure to apply the power and (e) Find the velocity at t /4 by...
(a) Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t) - 13ti + etj + e-t, V(0) - k, r(0) = 1 + k r(t) -