if a rocket is launched upward from ground level,its height in meters after t seconds is given by h=-9.8t^2+107.8t. during what interval of time will the rocket be higher than 294m? At what timedoes the rocket touch the ground? Solution if a rocket is launched upward from ground level,its height in meters after t seconds is given by h=-9.8t^2+107.8t. during what interval of time will the rocket be higher than 294m? THAT IS ... h=-9.8t^2+107.8t.> 294m......... -9.8t^2+107.8t- 294 > 0.......... -9.8[T-5][T-6] > 0......................... [T-5][T-6] < 0 HENCE T SHALL E IN THE INTERVAL ( 5 , 6 ) ............................ANSWER At what timedoes the rocket touch the ground? THAT IS .... h=-9.8t^2+107.8t = 0 ....... -9.8[T][T-11] = 0 T=0 .....THAT IS AT START ...................AND ................ T=11 .....................ANSWER .