A model rocket is launched from the roof of a building?

Science & Mathematics by Anonymous 2018-06-07 10:32:20

Social Science

1 answer

the flight path is h=-5t^2+30t+10. h is the height of the rocket about the ground in meters and t is the time measured in seconds after the launch. What is the maximum height and and how long does it take for the rocket to land?

Anonymous

i) h'(t) = -10t+30 = 0 for maximum t = 3 seconds h(3) = 55 m ii) 0 = -5t^2+30t+10 t^2-6t-2 = 0 t = [6±√44]/2 t = 3+√11 seconds ≈ 6.317 seconds See Graph https://www.desmos.com/calculator/l4jnmi...