- #1

thaalescosta

- 11

- 0

## Homework Statement

A particle receives an impulse that lasts 1s, coming from a upwards vertical force. This force is given by the following equation: F = -8t²+8t.

What is the maximum height reached by the particle?

## Homework Equations

F = -8t²+8t

## The Attempt at a Solution

[itex]\int(-8t²+8t)dt[/itex] = [itex](-8t³ +12t²)/3[/itex]

When t = 1s, I = 4/3. That's what I got as my impulse.

For the maximum height, I took the derivative of F and set it = 0, finding that t = 1/2

Now I don't know how to find the height with all the information I have.