SOLUTION: the height h of a toy rocket t seconds after launching is determined by the formula h= -16t^2 + 112t
a)find the height of the rocket 2.5 seconds after launching
b) afer how many
Algebra.Com
Question 192759: the height h of a toy rocket t seconds after launching is determined by the formula h= -16t^2 + 112t
a)find the height of the rocket 2.5 seconds after launching
b) afer how many seconds is the rocket 196 feet above the ground?
c) when will the rocket hit the ground?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the height h of a toy rocket t seconds after launching is determined by the formula h= -16t^2 + 112t
a)find the height of the rocket 2.5 seconds after launching
h(2.5) = -16(2.5)^2 + 112(2.5) = 180 ft.
-----------------------------------
b) afer how many seconds is the rocket 196 feet above the ground?
-16t^2 + 112t = 196
-16t^2 + 112t - 196 = 0
t^2 - 7t + 12.25 = 0
t = [7 +- sqrt(49 - 4*1*+12.25)]/2
t = [7 +- sqrt(49 - 49)]/2
t = [7 +- sqrt(0)]/2
Positive solution:
t = 7/2 = 3.5 seconds
------------------------------------------------
c) when will the rocket hit the ground?
-16t^2 + 112t = 0
-16t(t - 7) = 0
t = 0 (means it starts on the ground)
t = 7 sec (means it ends up on the ground in 7 seconds)
-----------------------
Cheers,
Stan H.
RELATED QUESTIONS
A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground (answered by ikleyn)
A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground (answered by ikleyn)
A toy rocket is shot vertically into the air from a launching pad 9 feet above the ground (answered by mananth,ikleyn)
A toy rocket is shot vertically into the air from a launching pad 9 feet above the... (answered by ikleyn)
The height t seconds after a toy rocket is launched straight up can be modeled by the... (answered by solver91311)
A toy rocket is launched from the top of a building 280 feet tall at an initial velocity... (answered by josmiceli)
if a model rocket is propelled upward from ground level at an initial velocity of 112... (answered by nerdybill)
I need some help.
If a homemade rocket is propelled upward from ground level with an... (answered by ewatrrr)
7. A toy rocket is launched vertically from 5 feet above ground level with an initial... (answered by Alan3354)