(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 =

in physics zero. in muscle fatigue could be high

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)