A catapult launches a boulder with an upward velocity of 92 m/s. The height of the boulder, h, in meters after t seconds is given by the function h=-5t^2+92t+16. How long does it take to reach maximum height? What is the boulder's height? Round to the nearest hundredth, if needed.
1. Reaches a maximum height of 16.00 meters in 18.4 seconds.
2. Reaches a maximum height of 18.57 meters in 9.2 seconds.
3. Reaches a maximum height of 37.14 meters in 18.4 seconds.
4. Reaches a maximum height of 439.20 meters in 9.2 seconds.
I think this is #4. Am I right? Thanks so much!!!

Question

A catapult launches a boulder with an upward velocity of 92 m/s. The height of the boulder, h, in meters after t seconds is given by the function h=-5t^2+92t+16. How long does it take to reach maximum height? What is the boulder's height? Round to the nearest hundredth, if needed.
1. Reaches a maximum height of 16.00 meters in 18.4 seconds.
2. Reaches a maximum height of 18.57 meters in 9.2 seconds.
3. Reaches a maximum  height of 37.14 meters in 18.4 seconds.
4. Reaches a maximum height of 439.20 meters in 9.2 seconds.
I think this is #4. Am I right? Thanks so much!!!

ihelpyoulearn · Answer

Please can someone check this? :)

jhonyy9 · Answer

did you solved this quadratic ?

ihelpyoulearn · Answer

@jhonyy9 Yes

jhonyy9 · Answer

so than what are these roots what you get for this quadratic ?