8.1.4.16 Geometric and physical applications

Problem:

A

ball with a mass of

400 g

is thrown upwards with a speed of

20 m / s

. Calculate the time of the ball's ascent and the maximum height of the ascent, if the air resistance is proportional to the square of the speed of the ball (proportionality coefficient

k > 0

), moreover, it is equal to

0, 0048 N

when the speed is

1 m / s

. Take

g = 10 m / s^{2}