Ship a is located 4.0 km north and 2.5 km east of ship b. ship a has a velocity of 22 km/h toward the south, and ship b has a velocity of 40 km/h in a direction 37° north of east.
(a) what is the velocity of a relative to b in unit-vector notation with ˆi toward the east?
(b) write an expression (in terms of ˆi and ˆj) for the position of a relative to b as a function of t, where t 0 when the ships are in the positions described above.
(c) at what time is the separation between the ships least?
(d) what is that least separation?

a)

b)  where t is in hours

c) t=0.084h

d) d=0.22km

Explanation:

We know that:

For the position:

The separation is given by the module of their relative position:

To find the least distance, we have to derive and make equal 0 to find t:

 Solving for t:

t = 0.084h

Evaluating d when t=0.084 we get:

d=0.22km

explanation:

earth's surface is mainly heated by the absorption of infrared radiation from the sun.

evaporation occurs because molecules in liquid water are warmed ( usually by the sun) and vibrate quicker, becoming less dense and rise.

condensation occurs because molecules in water vapor are cooled and therefore vibrate more slowly thus becoming more dense and eventually fall to earth.

lines of equal barometric pressure on a weather map are called: isobars : lines of equal temp on a weather map are called: isotherms.​

graph slopes whilst gas cools, then it is flat whilst conensation to liquid happens, the coolong liquid then graphs as a slope when it solidifies graph is flat

latent heat