Option A is the correct answer.Since the coordinates are in terms of t in x,y,z they vary in all the three axis when t is substituted.So 3*3 matrix is used to get new vector.
8. A 4-vector < x,y, z,t > describes the position of an object at a given time, using < x,y,z > for its coo...
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...
A 3.05-kg object is moving in a plane, with its x and y coordinates given by x = 8t2 − 4 and y = 5t3 + 4, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 1.75 s.
A 2.55-kg object is moving in a plane, with its x and y coordinates given by x = 6t2 − 2 and y = 2t3 + 6, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 1.95 s. N
A 3.10-kg object is moving in a plane, with its x and y coordinates given by x = 8t2 − 2 and y = 2t3 + 5, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 1.55 s.
Consider the vector field equation . Sketch this vector field using arrows in the x-y coordinates in the range of -4<=x<=4 and -4<=y<=4. Compute the line integral from (x,y) = (0,1) to (1,) along the path of . (Hint: Come up with a single parameter, such as t or that describes the x and y components of the path.
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...
The graph below describes the position x vs time of an object. Draw as precisely as you can a motion diagram below: (dots, starting at 0 [m] every 2 seconds) Draw a graph below it to represent the velocity vs time of the cart Position (m) vs time[s] 10 9 CO 7 그림 영역 6 5 4 3 2. 1 0 0 5 10 15 20 25 t a. Draw as precisely as you can a motion diagram below: (dots,...
4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are...
Consider the system: z'(t) + tr(t) + (t-1 )y(t) = 0, s(t) + (t-1)x(t) + ty(t) = 0, x(0)--4 y(0) = 2 Determine the solution functions, ()y) using ONLY the Fundamental Matrix method. Compute the values (1), y(2) Consider the system: z'(t) + tr(t) + (t-1 )y(t) = 0, s(t) + (t-1)x(t) + ty(t) = 0, x(0)--4 y(0) = 2 Determine the solution functions, ()y) using ONLY the Fundamental Matrix method. Compute the values (1), y(2)