Posted by Amelia on Saturday, February 18, 2012 at 6:19pm.
A projectile is thrown upward with an initial velocity of 272 feet per second. After t seconds, its height h(t)above the ground is given by the function : h(t)=16t^2+272t.
a. Determine the projectile's maximum height.
b. Determine how long it takes the projectile to reach its maximum height.
c. How many seconds will it take the projectile to strike the ground after it is thrown?

College Algebra  Reiny, Saturday, February 18, 2012 at 9:14pm
Since you called it "College Algebra" I will assume you know Calculus.
h'(t) = 32t + 272
b) max height obtained when
32t+272 = 0
t = 8.5 seconds
a) h(2.5) = 16(8.5)^2 + 272(8.5) = 1156
c) to strike ground, h(t) = 0
16t^2 + 272t = 0
16t(t  17) = 0
t = 0, (at the start) or t = 17
It will hit the ground 17 seconds later.
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