math
posted by sabrina .
A model rocket is launched with an initial velocity of 250 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by
h = −16t2 + 250t.
How many seconds after launch will the rocket be 730 ft above the ground? Round to the nearest hundredth of a second.

730=16t^2+250t
16t^2250t+730=0
Using the quadratic equation...
t= (250+sqrt (250^24*16*730))/32
solve for t
Respond to this Question
Similar Questions

math
A model rocket is launched with an initial velocity of 250 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by h = −16t2 + 250t. How many seconds after launch will the rocket be 730 ft above the … 
college algebra
A model rocket is launches upward with an initial velocity of 160 feet per second. The height, in feet, of the rocket t seconds after the launch is given by h=16t^2+160t. How many seconds after the launch will the rocket be 290 feet … 
math
A model rocket is launched with an initial velocity of 160 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by h = −16t2 + 160t. How many seconds after launch will the rocket be 350 ft above the … 
math
A rocket is launch from the top of an 40 foot cliff with an initial velocity of 140 feet per second, the height h of the rocket after t seconds is given by the equation h=16t^2+140t+40. How long after the rocket is launch will be 30 … 
Algebra: Quadratic Functions
A model rocket is launched with an initial velocity of 128 ft/s from a height of 70 ft. The height of the rocket, in feet, t seconds after it has been launched is given by the function s(t)=−16t^2+128t+70. Determine the time … 
Math
A model rocket is launched with an initial velocity of 164ft/sec. It's height h, in feet, after t seconds is given by the formula h=164t16t^2. After how many seconds will the rocket first reach a height of 400ft? 
algebra
A model rocket is launched upward with an initial velocity of 200 feet per second. The height, in feet, of the rocket t seconds after the launch is given by h = −16t2 + 200t. How many seconds after the launch will the rocket … 
pre cal
A toy rocket is launched straight up from the roof of a garage with an initial velocity of 56 feet per second. The height h of the rocket in feet, at t seconds after it was launched, is described by h(t)=−16t2+56t+17. Find the … 
maths
A model rocket is launched with an initial velocity of 250 ft per second. The height h, in feet, of the rocket t seconds after the launch is given by h = −16t2 + 250t. How many seconds after the launch will the rocket be 500 … 
college algebra
A toy rocket is launched with an initial velocity of 44.1 meters per second from a 1 meter tall platform. The height h of the object at any time t seconds after launch is given by the function h (t)4.9t squared +44.1t +1. How long …