We are considering an earth-venus transfer trajectory where the angle between theinjection point (at earth with an injection velocity parallel to earth’s velocity) and the arrivalpoint (at venus) is 150 degrees. what is the heliocentric velocity (magnitude and direction)of the spacecraft when it intercepts venus’ orbit? what is thev[infinity]of the spacecraft withrespect to venus (in vector form)? assume a circular orbit for both earth and venus aroundthe sun.

Adiver named jacques observes a bubble of air rising from the bottom of a lake (where the absolute pressure is 3.50 atm) to the surface (where the pressure is 1.00 atm). the temperature at the bottom is 4.00 ∘c, and the temperature at the surface is 23.0 ∘c.what is the ratio of the volume of the bubble as it reaches the surface (vs) to its volume at the bottom (vb)? if jaques were to hold his breath the air in his lungs would be kept at a constant temperature. would it be safe for jacques to hold his breath while ascending from the bottom of the lake to the surface?