Answer
(a) The maximum height on Mars is $2.64 \times H$
(b) The time in the air on Mars is $2.64 \times T$
Work Step by Step
(a) The acceleration of gravity on Mars is $\frac{3.71}{9.80}\times g = 0.3786~g$
On Earth:
$H = \frac{v_0^2}{2g}$
On Mars:
$H_M = \frac{v_0^2}{(2)(0.3786~g)} = 2.64 \times \frac{v_0^2}{2g}$
$H_M = 2.64 \times H$
The maximum height on Mars is $2.64 \times H$
(b) On Earth:
$T = 2\times \frac{v_0}{g}$
On Mars:
$T_M = 2\times \frac{v_0}{0.3786~g} = 2.64\times (2\times \frac{v_0}{g})$
$T_M = 2.64\times T$
The time in the air on Mars is $2.64 \times T$
