SOLUTION: Mark launched a model rocket with an initial speed of 180 ft per second. After how many seconds will Mark's rocket reach a height of 464 ft?
a) The formula h=rt-16t^2 gives the h
Algebra.Com
Question 63909This question is from textbook Algebra 1
: Mark launched a model rocket with an initial speed of 180 ft per second. After how many seconds will Mark's rocket reach a height of 464 ft?
a) The formula h=rt-16t^2 gives the height of an object projected upward at a rate of r feet per second after t seconds. Rewrite this equation substituting the data you are given.
b) Solve the equation and answer the problem.
c) After how many seconds will it be at that height again?
THANK YOU!!!!!!
This question is from textbook Algebra 1
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Mark launched a model rocket with an initial speed of 180 ft per second. After how many seconds will Mark's rocket reach a height of 464 ft?
a) The formula h=rt-16t^2 gives the height of an object projected upward at a rate of r feet per second after t seconds...NO IT IS WRONG ..R IS THE INITIAL VELOCITY AND NOT VELOCITY AT TIME T.. Rewrite this equation substituting the data you are given.
AT T=0,U=INITIAL SPEED = 180 FPS = R...AT H=464...T=?...SUBSTITUTING
464=180T-16T^2
4T^2-45T+116=0
4T^2-16T-29T+116=0
4T(T-4)-29(T-4)=0
(T-4)(4T-29)=0
T=4....OR......29/4
THAT IS 4 SECS AFTER START ON ITS UPWARD JOURNEY
AND 29/4 SECS AFTER START ON ITS DOWNWARD JOURNEY.
b) Solve the equation and answer the problem.
c) After how many seconds will it be at that height again?
THANK YOU!!!!!!
RELATED QUESTIONS
A model rocket is launched with an initial velocity of 180 ft/s. The height, h, in feet,... (answered by Alan3354)
A model rocket is launched with an initial velocity of 180 ft/s. The height, h, in feet,... (answered by jorel1380)
A model rocket is launched with an initial velocity of 250 ft per second. The height h,... (answered by ikleyn)
I need the method for solving this more than the answer, but both would be appreciated:... (answered by Earlsdon)
A model rocket is launched with an initial velocity of 250 ft/s. The height, h, in feet,... (answered by lwsshak3)
A model rocket is launched with an initial velocity of 160 ft/s. The height, h, in feet,... (answered by Alan3354,ikleyn)
Hugh Betcha launched a model rocket with an initial speed of 88 feet per second. After... (answered by amarjeeth123)
a toy rocket is launched from a 144- foot cliff overlooking the ocean with an initial... (answered by jsmallt9)
A model rocket is launched with an initial velocity of 170 ft/s. The height, h, of the... (answered by ikleyn)