Find an equation of the plane with the given characteristics. The plane passes through (0, 0,...
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
The position vector r describes the path of an object moving in space. Position Vector Time r(t) = + i + tj + 2+ 3/2 t=9. (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) s(t) = a(t) (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. v9) al 9) =
The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 12; + tj + 243/2k t = 4 (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = s(t) a(t) (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. (4) = a(4) 11 Use the model for projectile motion, assuming there is no air resistance and g = 32 feet...
cal 3 question. thanks and wish you the best ? 3. Find the equation of the plane that passes through (2, 1, 1), (1,4, 1) and (-2, 0,4). Put the equation in simplest general form. 4. Evaluate the velocity vector and acceleration vector of the object at the given value of t. r(t) = ti - tj + 9 - tak, t = 0
3. LARCALC11 11.5.045. Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (5, 0, 2), and (-4, -1,9). —x – 9y — 2.5 = 0
The velocity vector of an object is given by y(t) = (* sin(at), 1, a cos(at)). Assume that at t = 1, the object is at the point P(1,1,0). (a) Find the position vector F(t) of the object. (b) Find parametric equations of the line which is tangent to r(t) at P. (c) Find the distance that the object traveled from the point t = 0 to t = 1. (d) Find an equation for the normal plane of r(t)...
Question 82 A object moving in an x-y plane is first observed (time "-0") at the location x 3m, where it has a velocity of magnitude 5 m's in the ty-direction. The object then experiences the following acceleration as a function of time: ãe) (12e)+ (14 32) Note that snits have been omited: assume that putting in ()-s will give (aj-m/s) Part A: Find the velocity of the object as a function of time, (). Express your answer in unit-vector...
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...
Find the general equation and a vector equation of the plane that passes through the points p(1,2,4) Q(1,-1,6) R(1,4,8)
--1)+3y+2(z-4) 0 (9) Find an equation of the plane (a) through the point (2,0, 1) and perperndicular to the line a =3t, y 2- t,z3t+4 (b) passes through the point (1,-1,-1) parallel t the plane bz-y-z6 (c) passes through the point (3,5,-1) and contains the line a 4-t,y = -1+2t, z3t (d) passing through (-1,1,1), (0,0,2) and (3,-1,-2).