NNED ANSWER FOR SECOND ONE FIRST Question1. At time t a particle has a velocity v(t) =t= 0 it is at a point which has a position vector r(t) = 3j .[2cos(t)]i - [4sin(t)cos(t)]j, t>0 and at timeFind the position of the particle at time t . (3 marks)b. Find the position of the particle when it first comes to rest . (3 marks)c.i.Find the Cartesian equation of the path of the particle. (3 marks)Sketch the path of the particle clearly showing scaled axes) giving the domain andrange. (3 marks)ii.d. Express |v[² in terms of cos(t) and without using calculus, find the maximum speed of theparticle. (3 marks)e. Give the time at which the particle is at rest for the second time. (3 marks)f.Show that the distance d of the particle from the origin at time t is given byd² = cos²(2t) + 2cos(2t) + 6 (3 marks)ii.i.%3DFind the time(s) at which the particle is closest to the origin. (4 marks) A 10 kg box is pulled to the right by 50 N force. If the friction force is 12 N, then the acceleration of the box is:Select one:O a. 8.3O b. 8.8O c. 3.8 m/s?O d. 3.3

Name: NNED ANSWER FOR SECOND ONE FIRST Question1. At time t a particle has a
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: NNED ANSWER FOR SECOND ONE FIRST Question1. At time t a particle has a velocity v(t) =t= 0 it is at a point which has a position vector r(t) = 3j .[2cos(t)]i - [4sin(t)cos(t)]j, t>0 and at timeFind the position of the particle at time t . (3 marks)b.