Assume that the lower troposphere is isothermal with a temperature TA. An airparcel at the surfaceis heated isobarically to a temperature of T0 and then released and allowed to ascend dryadiabatically. Assume that the buoyancy is the only force acting on the parcel and that mixingbetween the parcel and ambient dry air can be neglected. The buoyant parcel will accelerateinitially, attain a maximum velocity at some altitude, and then decelerate until its upward motionstops. Then, be colder than its surrounding s, it will start to fall and accelerate downwards. Deriveformula for the following quantities:

Question

Assume that the lower troposphere is isothermal with a temperature TA. An airparcel at the surfaceis heated isobarically to a temperature of T0 and then released and allowed to ascend dryadiabatically. Assume that the buoyancy is the only force acting on the parcel and that mixingbetween the parcel and ambient dry air can be neglected. The buoyant parcel will accelerateinitially, attain a maximum velocity at some altitude, and then decelerate until its upward motionstops. Then, be colder than its surrounding s, it will start to fall and accelerate downwards. Deriveformula for the following quantities:
a) The maximum altitude of the parcel
b) The altitude at which the vertical velocity is maximum
c) The value of the maximum upward velocity
d) The value of the maximum downward velocity
e) Also evaluate these quantities numerically assuming TA = 10C and T0 = 12C

I am with A

please help me out