Type 1 Projectile with an initial vertical velocity

[reganw]

A rude tourist throws a peach pit horizontally with a 7.0 m/s velocity out of an elevator cage. The ground is 17 m below. How long will it take for the pit to land if the elevator is moving upward at a constant 8.5 m/s velocity?



d=volt + 1/2at²



My attempt that continuously doesn't work is:
-17=(8.5)(t)+1/2(-9.8)(t²)
-17=8.5t - 4.9t²


The answer is 2.92s.. I'm just not quite sure how to get there. Please show all the steps in your solution.. I'm drawing a blank on how to solve for t!


Thank you!

 

[leachlife4]

0=17+8.5t-4.9t^2

Then use the quadratic equation to solve it

 

[reganw]

0=17+8.5t-4.9t^2

Then use the quadratic equation to solve it

oh right! i forgot about the quadratic equation.. got it now! thanks!