Question

The vector position of a particle varies in time according to the expression r = 3i-6t^2 j.(a) find an expression of velocity of particle as a function of time (b) determine acceleration of particle as a function of time (c)calculate the position and velocity at t=1s

Answer 1

a)

$\vec v=\vec r'=-12t\vec j,$

b)

$\vec a=\vec v'=-12\vec j,$

c)

$\vec r(1)=3\vec i-6\vec j,$

$\vec v(1)=-12\vec j.$