Differential equations A sphere  weighing 2 kg is dropped from a height of 1000 meters without initial speed. While falling you find an air resistance numerically equal to v/8 (in Newtons) where v is the speed of the sphere (in m/s).Find:  a. The speed lımite of the sphere  .b. The time required for the sphere to touch the ground. Pls dont skip any steps even on the integrals

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Chapter4: Motion In Two Dimensions
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Differential equations

A sphere  weighing 2 kg is dropped from a height of 1000 meters without initial speed. While falling you find an air resistance numerically equal to v/8 (in Newtons) where v is the speed of the sphere (in m/s).Find: 
a. The speed lımite of the sphere 
.b. The time required for the sphere to touch the ground.

Pls dont skip any steps even on the integrals 

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