You throw a ball vertically upwards with an initial speed v (in km per hour). The height h of the ball at each time t
is given by h = v*t - 0.5*g*t*t where g is Earth's gravity (g ~ 9.81 m/s**2). A device is recording at every tenth
of second the height of the ball.
For example with v = 15 km/h the device gets something of the following form:
(0, 0.0), (1, 0.367...), (2, 0.637...), (3, 0.808...), (4, 0.881..) ...
where the first number is the time in tenth of second and the second number the height in meter.
Write a function max_ball with parameter v (in km per hour) that returns the time in tenth of second
of the maximum height recorded by the device.
max_ball(15) should return 4
max_ball(25) should return 7
- Remember to convert the velocity from km/h to m/s or from m/s in km/h when necessary.
- The maximum height recorded by the device is not necessarily the maximum height reached by the ball.