SOLUTION: Suppose a cannon shoots a cannon ball into the air so that the initial upward velocity of the cannon ball is 320 feet per second.Assume the cannon ball is shot from ground level.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Suppose a cannon shoots a cannon ball into the air so that the initial upward velocity of the cannon ball is 320 feet per second.Assume the cannon ball is shot from ground level.       Log On


   



Question 65312: Suppose a cannon shoots a cannon ball into the air so that the initial upward velocity of the cannon ball is 320 feet per second.Assume the cannon ball is shot from ground level.

H=-1/2*gt^+vt+h where g is the acceleration due to gravity, and on the earth, equals 32ft/sec^ (English units) or 9.8m/sec^(metric units,
v is the initial upward velocity of the object
h is the initial height above the ground
the question:
how high will the cannon ball be in 7 seconds?
and how do you figure it out?
i tried -16x^+320*7 because i thought this is what the solver was telling me to do...my answers were 2256,2224,2128,and 2352. None of these appear to be correct. I answered question #1 by guessing: in 5 seconds, the rocket will be 1200 feet above ground. The solution I came up with was 320*5=1600, 16*5=80,then add 320+80=400, then subtract 400 from 1600 to get 1200feet, which was the correct answer , but for question #2, i am wrong if i use the same pattern.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The equation that relates the height (as a funtion of time) of an object propelled upwards at an initial velocity of Vo from an initial height of Ho is:
h%28t%29+=+-16t%5E2%2BVot%2BHo Note the t%5E2 in the first term. Substituting t = 7, you get:
h%287%29+=+-16%287%29%5E2%2B320%287%29%2B0 Simplify.
h%287%29+=+-784%2B2240
h%287%29+=+1456
The cannon ball will reach a height of 1,456 feet in 7 seconds.