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Posted by **Amelia** on Saturday, February 18, 2012 at 6:19pm.

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 9:14pmSince 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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