Consider a vector in two dimensional space:
\overrightarrow{v} = \widehat{i}
starting at r = 1, \theta = 0, and moving around the unit circle with constant r = 1, but varying \theta. the assumption is that the vector itself should not vary (i. e. the semicolon derivatives should be zero around the curve).
write (and solve if possible) a differential equation describing the changes in the components of \overrightarrow{v} as you parallel-transport it around the unit circle.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.

according to jean piaget, in what stage of cognitive development are children able to understand conservation task?

b. preoperational

just took it