A flea develops an acceleration of 2.0x10^3 m/s^2 during takeoff.After takeoff the flea reaches a thres more?

Question

a height of 36 mm
How fast does the flea leave the ground
How long does the take-off acceleration last

Answer 1

This one is not nonsense.

The distance of 36mm can be related to the time of ascent this way:

36 mm = 1/2 * 9810 mm / sec^2 * t^2 sec^2
t = sqrt(72 / 9810) seconds, or less than 1/10 of a second.

The velocity in meters/second at takeoff is

v = 9.81 * sqrt(72 / 9180), or about 1 meter/second.

The takeoff velocity is related to the acceleration time as follows:

9.81 * sqrt(72 / 9180) = 2.0 * 10^3 * t
t = .004905 * sqrt(72 / 9180), or about 5 / 10,000 of a second