A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The height of the airplane above ground after t seconds is given by the equation h=-16t^2+56t+1, where h is the height of the airplane in feet and t is the time in seconds after it is launched. Approximately how long does it take the airplane to reach its maximum height?

A)0.3 seconds
B)1.8 seconds
C)3.5 seconds
D)6.9 seconds

Question

A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The height of the airplane above ground after t seconds is given by the equation h=-16t^2+56t+1, where h is the height of the airplane in feet and t is the time in seconds after it is launched. Approximately how long does it take the airplane to reach its maximum height?

A)0.3 seconds 
B)1.8 seconds 
C)3.5 seconds 
D)6.9 seconds

Vocaloid · Answer

maximum height occurs at the vertex

the time to reach that height is simply the x-coordinate, given by x = -b/(2a)