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 find acceleration.How long does it take the flea to leave the ground after it begins pushing off?

Answer 1

Solution:

In this question we have given,

initial velocity,u = 0

final velocity, v = 1m/s

displacement =.5mm             (Because 1mm=.001m)

We have to find

1.acceleration

2. Time

1. we know third equation of motion is given as,

$v^{2} =u^{2} + 2as$............(1)

Put values of v,u and s in equation (1)

$[tex]s=1^{2} = 0^{2} +2X.0005Xa\\1= .001a\\therefore, a = 1/.001\\ a= 1000m/s^{2}$

2. We know First equation of motion is given as

$v=u+at$......................(2)

put values of v, u and a in equation(2)

$1= 0 + 1000t\\t= 1/1000\\t= 0.001s$