KXEX 2245 – Session 2014/15, Semester III Assignment 1. A particle moves in space so that at time t its position is stated as = 2 + 3, = 2 + 3, = 3 + 2 2 . Find its velocity and acceleration at the time t = 1. 2. Determine the unit tangent vector for the curve = 3; = 2 2 ;= 2 + at the point (6, 8, 6). 3. Show that (, , ) = + + is a conservative vector field. Then, find the scalar potential Φ(x,y,z) so that = . Please submit the assignment by 12pm 27 th July 2015.
1. A particle moves in space so that at time t its position is
stated as = 2 + 3, =2 + 3, = 3 + 22. Find its velocity and
acceleration at the time t = 1.
2. Determine the unit tangent vector for the curve = 3; = 22; =
2 + at the point (6, 8, 6).
3. Show that (, , ) = + + is a conservative vector field. Then,
find the scalar potential (x,y,z) so that = .
Please submit the assignment by 12pm 27th July 2015.
