SOLUTION: Height of a projectile. The height H, in feet, of a projectile with an initial velocity of 96 ft/sec is given by the equation
H=-16t squared + 96t
where t= time, in seconds. Use
Algebra.Com
Question 386099: Height of a projectile. The height H, in feet, of a projectile with an initial velocity of 96 ft/sec is given by the equation
H=-16t squared + 96t
where t= time, in seconds. Use any equation-solving technique to answer the following questions.
a) How many seconds after launch is the projectile 128 ft above ground?
b) When does the projectile reach its maximum height?
c) How many seconds after launch does the projectile return to the ground?
Found 2 solutions by Alan3354, scott8148:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Height of a projectile. The height H, in feet, of a projectile with an initial velocity of 96 ft/sec is given by the equation
H=-16t squared + 96t
where t= time, in seconds. Use any equation-solving technique to answer the following questions.
a) How many seconds after launch is the projectile 128 ft above ground?
(t-4)*(t-2) = 0
t = 2 seconds (going up)
t = 4 seconds (descending)
---------------------
b) When does the projectile reach its maximum height?
Using the info above, it's at t = 3 seconds.
---------------------
c) How many seconds after launch does the projectile return to the ground?
When H = 0
H=-16t squared + 96t = 0
t = 0 (launch)
t = 6 (impact)
t in seconds
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
a) 128 = -16t^2 + 96t ___ 0 = t^2 - 6t + 8 ___ there are two solutions , one going up and one coming down
b) the max height is at the vertex , which is on the axis of symmetry ___ x = -b / (2a)
in this case ___ t = -96 / [2(-16)] ___ plug the time into the original equation to find the height
c) time up equals time down ___ see b)
RELATED QUESTIONS
The height in feet of a projectile with an initial velocity of 96 feet per second and an... (answered by Boreal,ikleyn)
The height in feet of a projectile with an initial velocity of 96 feet per second and an... (answered by ikleyn)
The height in feet of a projectile with an initial velocity of 96 feet per second and an... (answered by ikleyn)
The height in feet of a projectile with an initial velocity of 96 feet per second and an... (answered by Boreal,MathLover1)
A projectile is launched straight up from ground level with an initial velocity of 256... (answered by Alan3354)
A projectile is launched straight up from the ground with an initial velocity of 600... (answered by josmiceli)
A projectile is launched from ground level with an initial velocity of V0 feet per... (answered by Alan3354)
Eyjafjallajökull is a volcano in Iceland. During a recent eruption the volcano spewed... (answered by ikleyn)
The height in feet of a projectile with an initial velocity of 160 feet per second and an (answered by nerdybill)