(a) If a flea can jump straight up to a height of 0.440 m, what is its initial speed as it leaves the ground?

Video transcript

Hello everyone in this problem. If a body is projected vertically upward from the ground to reach a maximum height of 10 m. And what is its speed with which its projected initially from the ground? We have some body which is launched with some initial velocity and it reaches some maximum altitude H max Is equal to 10 m. So we know that delta H Equal to m. Every now we could right can write equations. We recall the F equals V. I plus 80. The f squared equals to the I squared plus plus to a delta X. And the 3rd 1 delta X is equal to V I. T plus one half a T squared. Now we know in free fall that the acceleration due to gravity is negative 9.81 meters per second squared. And at this maximum altitude V is equal to 0m/s. So if you only consider from the starting point to the maximum altitude this B would be the final. So looking at these kinetic equations, we can see that we have the f delta H and G. So we can use this second cinematic equation problem. You can rewrite it as the f squared equals the I squared Plus two G. H. And since we're looking for V I we could be arranged this as B I squared is equal to negative two G delta H. The square root. And now we can make the substitution G. Is simply -9. meters per second squared And we know that the delta age is 10 m solve this. We get 14 m/s, which is answer choice B. Help themselves have a great day.