An object moves in the x-y-z space such that its position is defined by r (4t'i...
A particle moves in the x-y plane such that its position is defined by r (2t i+ 4tj) ft, where t is in seconds. Determine the radial and transverse components of the particle's velocity and acceleration whent-2 s.
Given A position of a particle which moves along a straight line is defined by the relation'小64-m» 40, where s is expressed in feet and t in seconds Find a) O b) Or derive the equation of the particle's acceleration as a c) The time at which the velocity will be zero. d) The position of the particle when the velocity is zero. e) The acceleration of the particle when the velocity is zero. t) The displacement of the particle...
The motion of a particle is defined by the equations x = (2t + t?) m and y = (t2) m, where t is in seconds. Determine the normal and tangential components of the particle's velocity and acceleration when t = 2 s.
The position vector of a point which moves in the x-y plane is given by: r = (- 0.2 t4 + 1.8 t3 + 1.1 t2) i + (- 0.4 t4 - 1.2 t) j where r is in meters and t is in seconds. Determine the angle between the velocity v and the acceleration a when t = 1.7 sec.
An object travels along the sinusoidal path defined by the y sin(0.5(rad/m) x). If the component of velocity along the x axis is t? m/s where t is in seconds, determine the objects distance from the origin O and its acceleration when t- 1.5 s. When t 0,x-O,y-0
1. An object of 3.00 kg moves in the Cartesian plane with its coordinates (x, y) known as ? =5?^2 - 1 and ? = 3?^3 + 2 where x and y are in meters and t is in seconds. Determine the force acting in the object at t = 2.00 s. 2.Three forces acting on an object are provided by ?⃗1 = (-2.00? + 2.00?) ?, ?⃗2 = (5.00?-3.00?) ? and ?⃗3 = (-45.0?) ?. If the acceleration is...
The acceleration of a particle as it moves along a straight line is given by a=(2t−1) m/s2, where t is in seconds. Suppose that s = 4 m and v = 8 m/s when t = 0. a)Determine the particle's velocity when t = 4 s . b)Determine the particle's position when t = 4 s c)Determine the total distance the particle travels during the 4-s time period.
An object moves along the x-axis with its position x, in meters, given as a function of time t, in seconds, by x(-1.417-9.491+ 4.68 r(t)-1.41 t2-9.4% + 4.68 What is the object's velocity at time t 1.01 s? Number m/ s
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
Suppose that an object moves along the x axis. Its x-position as a function of time is x(t)=Asinwt, where A and w are constants. What are the x, y, and z components of its velocity as a function of time?