Question

Can y’all help solve this out

Answer 1

Using this equation, we want to solve for the variable t, for time. It is given that the height is 5 meters, therefore, h = 5. Then, we plug that into the given equation and solve for t

h = 2 + 9t - 5t²

5 = 2 + 9t - 5t² ← Reorder this to make it easier to factor

5 = -5t² + 9t + 2

0 = -5t² + 9t + 2 - 5

0 = -5t² + 9t - 3 ← We want to solve for t. We can either complete the square, or use the quadratic formula. I will be using the quadratic formula, which is:

`t = (-b+√(b^2-4ac))/(2a)` AND
`t = (-b-√(b^2-4ac))/(2a)` where a = -5, b = 9, and c = -3

Then, you can plug this into your calculator, and

t = (-9 + √141)/10 ≈ 0.29

t = (-9 - √141)/10 ≈ -2.09