Thank you very much for your question! In my opinion, you could have solved this problem without the quadratic formula. In fact, you could have used the following formula:
Vf2 = Vi2 + 2 x a x delta X.
You can use this formula since the only variable you are missing is distance. The final speed is 0 since when the projectile is at its highest point, its y speed becomes zero before it begins its descent. Then, you already know the initial speed since you calculated it in the previous number. Finally, you know the acceleration since your projectile is subject to gravitational acceleration. Here is a sheet that might help you:
Explanation from Alloprof
This Explanation was submitted by a member of the Alloprof team.
Hello PeacefulPumpkin8091,
Thank you very much for your question! In my opinion, you could have solved this problem without the quadratic formula. In fact, you could have used the following formula:
Vf2 = Vi2 + 2 x a x delta X.
You can use this formula since the only variable you are missing is distance. The final speed is 0 since when the projectile is at its highest point, its y speed becomes zero before it begins its descent. Then, you already know the initial speed since you calculated it in the previous number. Finally, you know the acceleration since your projectile is subject to gravitational acceleration. Here is a sheet that might help you:
I hope I answered your question. Don’t hesitate to write to us again if any questions persist!