Question

When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1. 0 m/s over a distance of 0. 50 mm. What is the flea's acceleration as it extends its legs?

Answer 1

The acceleration of the flea as it extends its legs is 1,000 m/s²

The given parameters;

• final take off speed of the flea, v = 1 m/s

• distance covered by the flea, d = 0.5 mm

The acceleration of the flea is calculated by applying the third kinematic equation;

$v^2 = u^2 + 2as$

where;

v is the final velocity of the flea

u is the initial velocity of the flea

a is the acceleration of the flea

The acceleration of the flea is calculated as;

$(1)^2 = 0 + 2a(0.5\times 10^{-3})\\\\1 = 0.001 a\\\\a = \frac{1}{0.001} \\\\a = 1,000 \ m/s^2$

Thus, the acceleration of the flea as it extends its legs is 1,000 m/s²

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