The equation needed to solve the required time is –4.9t^2 + 15t + 1 = 0
To get the required equation, we can use the equation of motion under constant acceleration.
According to the equation of motion
s = ut + 0.5gt^2
Given the following
Substitute into the equation:
[tex]-1 = 15t +0.5*-9.81*t^2\\-4.9t^2 + 15t + 1 = 0[/tex]
Hence the equation needed to solve the required time is –4.9t^2 + 15t + 1 = 0
Learn more on the equation here: https://brainly.com/question/2972832