When jumping, a flea accelerates at an astounding 1400 m/s2 , but over only the very short distance of 0.55 mm . If a flea jumps straight up, and if air resistance is neglected (a rather poor approximation in this situation), how high does the flea go

Explanation:

Given:

Acceleration, a = 1400 m/s^2

Distance, s = 0.55 mm

= 0.000055 m

Final velocity, v = 0 m/s

Using equation of motion,

v^2 = u^2 + 2as

u = √(2as)

= √(2 * 1400 × 0.000055)

= 0.8775 m/s

Initial velocity, u = 0.8775 m/s

Finding distance, S at, a = g = 9.8 m/s^2

Using equations of motion above,

S = u²/2g

= (0.8775)²/(2 × 9.8)

= 0.039 m

= 39 mm