(a) find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t) = 20t i + sin(t) j + cos(2t) k, v(0) = i, r(0) = j

Explanation:

a(t)=20t i+sin(t) j +cos(2t) k

v(t)=

=---------------eqn 1

given v(0)=i

i=

from equation 1

V(t)=----------eqn 2

now r(t)=

given r(0)=j

0i+1j+ok =

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