Saturday

December 20, 2014

December 20, 2014

Posted by **Math is HARD** on Tuesday, November 9, 2010 at 5:33am.

(a) At what time does the projectile attain its maximum height? Show some work.

(b) What is the maximum height attained by the projectile? Show some work.

- math -
**Damon**, Tuesday, November 9, 2010 at 6:19ams(t) = –16t^2 + 128t + 30

can do this with or without calculus

using calculus

ds/dt = -32 t + 128

= 0 at max height

32 t = 128

t = 4 seconds

for max height

s(4) = -16(16) +128(4) + 30

s(4) = 286

without calculus find vertex of parabola

16 t^2 -128 t = -s+30

complete square

t^2 - 8t = -(1/16)s + (30/16)

t^2 - 8 t + 16 = -(1/16)s + 15/8 + 16

(t-4)^2 = etc

so vertex at t = 4

**Answer this Question**

**Related Questions**

calculus - A projectile is launched from a platform 20 feet high with an initial...

intermediate algebra - A projectile is launched directly upward from the top of ...

math - A projectile is fired directly upward with a muzzle velocity of 860 feet ...

calculus - The height of a projectile launched into the air is given by h (t)= -...

math - The height of a projectile fired upward is given by the formula s = v0t...

algebra - The height in feet of a projectile with an initial velocity of 32 feet...

Algebra - The height in feet of a projectile with an initial velocity of 32 feet...

College Algebra - A projectile is thrown upward with an initial velocity of 272 ...

algebra - The height in feet of a projectile with an initial velocity of 32 feet...

pre-calc - analyzing the motion of a projectile: a projectile is fired from a ...