Q.1. To a man going East in a car with a velocity of 40km/h, a train appears to move towards North  with  a  velocity of 40km/h. What is the actual velocity and direction of motion of train?

Q.2. A point moves in x-y plane according to the law x=4sin6 t and y=4 (1-cos6 t). Find the distance traversed by the particle in 5 seconds, when x and y are in metres.                                                               

Q.3. Find the sum of N-coplanar vectors of equal lengths, each making angle 2(pi) / N with that of preceding.

Please explain the solutions.Rates assured.

Please ans. this. Its urgent.

1) takin north,east as j,i

V trn wrt m = V trn wrt grnd - V m wrt grnd

so V trn wrt grnd = 40 sqrt3 (j) + 40(i) = 80 km/hr in dirctn 60degres n of e

3) 0

angle bt succdn vectors 2pi/N , sum of all angls N*2pi/N = 2pi , so a square, each side equal n oppst 2 its parll side so sum =0