When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1.0 m/s over a distance of 0.50 mm find acceleration

The take off speed (final velocity) is:

v = 1.0 m/s

The total distance taken is:

d = 0.50 mm = 5 x 10^-4 m

To find the acceleration a, we use the formula: (vi is initial velocity = 0)

v^2 = vi^2 + 2 a d

(1.0 m/s)^2 = 2 a (5 x 10^-4 m)

a = 1,000 m/s^2

lexy is right because she has the labeled s

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be