Problem 18. An object with mass 100 kilograms is released at a height of 500 meters above the ground and begins to free fall. The force due to air-resistance is given by -20v where v is the velocity of the object. Recall that the acceleration due to gravity is 9.8 m/s? in the downward direction. a. Write a differential equation that governs this situation.

You throw a ball of mass 1 kilogram upward from a height of 0 meters with a velocity of a = 23 m/s on Mars, where the acceleration due to gravity is g = 3.711 m/s. (a) Use your calculator to approximate how much longer (in seconds) the ball is in the air on Mars compared to on Earth where g = 9.80 m/s-. (Round your answer to three decimal places.) X S (b) Use your calculator to approximate how much higher (in meters) the ball went on Mars compared to on Earth. (Round your answer to one decimal place.) X m

Please solve and explain this differential equ

please solve using differential calculus