Question

A flea jumps straight up to a maximum height of 0.400 m . what is its initial velocity v0 as it leaves the ground?

Answer 1

For an object`s motion, the Kinematic equation is,

`v^2=v_(0)^2+2ah`

Here, v is the final velocity and h is stands for the height of the object and a is the acceleration of the object.

As according to question,

`v=0m/s,a=g-9.8 m/s^2` and
`h = 0.400 m`

Thus, putting these values in above equation, we get

`0= v_(0)^2 -2gh`

or

`v_(0) =√(2 * 9.8 * 0.400 )`

`v_(0) = 2.8 m/s`

Therefore, initial velocity is 2.8 m/s