You dive straight down into a pool of water. You hit the water with a speed...

You dive straight down into a pool of water. You hit the water with a speed of 5.0 m/s , and your mass is 70 kg.

Assuming a drag force of the form FDFD = (−1.50×10⁴ kg/s )v, how long does it take you to reach 2% of your original speed? (Ignore any effects of buoyancy.)

Expert Solution

The concept used is of basic force balance and method of solving first order differential equation , initially i balance the forces and after simplify the equation , i found that the obtained equation is of first order linear differential equation , then i apply the method of solving first order equation and finally i calculated the time at which it's velocity becomes half to that of it's initial velocity.

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genius_generous answered 1 year ago

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