A flea jumps straight up to a maximum height of 0.490 m . How long is the flea in the air from the time it jumps to the time it hits the ground?

Respuesta :

Answer:

0.62 s

Explanation:

given,

maximum height of the flea = 0.49 m

velocity at maximum height = 0 m/s

now, calculating initial velocity

using equation of motion

[tex]v^2 = u^2 + 2 g h[/tex]

[tex]0^2 = u^2 - 2\times 9.8 \times 0.49[/tex]

[tex]u^2 = 9.604[/tex]

[tex]u = 3\ m/s[/tex]

now, calculating time he take to reach at the highest point

v = u + g t

0 = 3 - 9.8 x t

9.8 t = 3

t = 0.31 s

Time it will be in air will be twice the time it took to reach to the maximum height.

Time for which it was in air = 2 x 0.31 s = 0.62 s