It has been claimed that an insect called the froghopper (philaenus spumarius) is the best jumper in the animal kingdom. this insect can accelerate at 4 000 m/s2 over a distance of 2.0 mm as it straightens its specially designed " jumping legs." assuming a uniform acceleration, what is the velocity of the insect after it has accelerated through this short distance.

v=4m/s

Explanation:

The formulas for accelerated motion are:

We can derive the formula from them.

We have:

And substitute:

Where in the first step of the last row we just multiplied everything by 2a. Since is the displacement d, we have proved that

We use then our values to calculate the final velocity when starting from rest, traveling a distance 0.002m with acceleration :

0.11 m/s and 0.28 m/s should be correct