SOLUTION: A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launched is given by s= -16

Algebra ->  Triangles -> SOLUTION: A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launched is given by s= -16      Log On


   



Question 889348: A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launched is given by s= -16t^2+v0t. Find the time(s) the projectile will (a) reach a height of 192 feet (b) return to the ground when v0=128 feet per second.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launched is given by s= -16t^2+v0t. Find the time(s) the projectile will (a) reach a height of 192 feet (b) return to the ground when v0=128 feet per second.
----------
s= -16t^2+v0t
s(t) = -16t^2 + v0t
(a) reach a height of 192 feet
----
s(t) = -16t^2 + 128t = 192
-16t^2 + 128t = 192
Solve for t, it's just a quadratic.
========================
-16t^2 + 128t = 0
Even easier.
----------------
This aint rocket science.