Which method of thermal energy transfer would be fastest through a solid and why, which would be fastest through a gas and why, and which would be fastest through a vacuum and why?

i think the answer is tomato juice? not entirely sure though

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft

where is the

490 n

f=125n a=2.5m/s2