SOLUTION: -16t(squared)+350t=h and the graph

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Question 691421: -16t(squared)+350t=h and the graph
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
-16t%5E2%2B350t=h+
-16t%5E2%2B350t-h+=0

t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
t+=+%28-350+%2B-+sqrt%28+350%5E2-4%2A%28-16%29%2A%28-h%29+%29%29%2F%282%2A%28-16%29%29+
t+=+%28-350+%2B-+sqrt%28+122500-64h%29%29%2F%28-32%29+
t+=+%28-350+%2B-+sqrt%28+122500-64h%29%29%2F%28-32%29+
if t=0...=>... 0=+%28-350+%2B-+sqrt%28+122500-64h%29%29%2F%28-32%29+
0=+-350%2F%28-32%29++%2B-+sqrt%28+122500-64h%29%29%2F%28-32%29+
0=+10.9375++%2B-+sqrt%28+122500-64h%29%29%2F%28-32%29+
-10.9375+=+%2B-+sqrt%28+122500-64h%29%29%2F%28-32%29+
%28-10.9375%29+%5E2=+%2B-+%28122500-64h%29%2F%28-32%29+
119.63=+122500%2F%28-32%29-64h%29%2F%28-32%29+
119.63=+-3828.125%2B2h+
119.63%2B3828.125=2h+
3708.495=2h+
1854.25=h+



now find t

t+=+%28-350+%2B-+sqrt%28+122500-64%281854.25%29%29%29%2F%28-32%29+
t+=+%28-350+%2B-+sqrt%28+122500-118672%29%29%2F%28-32%29+
t+=+%28-350+%2B-+sqrt%28+3828%29%29%2F%28-32%29+
t+=+%28-350+%2B-+61.87%29%2F%28-32%29+
t+=+%28-350+%2B+61.87%29%2F%28-32%29+
t+=+%28-288.13%29%2F%28-32%29+
t+=9.0040625
t+=9

-16t%5E2%2B350t=h ......plug in t=9 and 1854.25=h+
-16%2A9%5E2%2B350%2A9=1854.25
-16%2A81%2B350%2A9=1854.25
-1296%2B3150=1854.25
1854=1854.25
1854=1854

or

t+=+%28-350+-+61.87%29%2F%28-32%29+
t+=+%28-350+-+61.87%29%2F%28-32%29+
t+=+%28-411.87%29%2F%28-32%29+
t+=12.8709375
t+=12.87
check:
-16t%5E2%2B350t=h ......plug in t=12.87 and 1854.25=h+
-16%2A9%5E2%2B350%2A9=1854.25
-16%2A81%2B350%2A9=1854.25
-1296%2B3150=1854.25
1854=1854.25
1854=1854
or
-16t%5E2%2B350t=h ......plug in t=12.87 and 1854.25=h+
-16%2A12.87%5E2%2B350%2A12.87=1854.25
-16%2A165.6369%2B350%2A9=1854.25
-2650.1904%2B4504.5=1854.25
1854.3096=1854.25
1854=1854

so, your function is:

-16t%5E2%2B350t=1854.25+
-16t%5E2%2F16%2B350t%2F16=1854.25%2F16+
-t%5E2%2B21.875t=115.89
+graph%28+600%2C+600%2C+-50%2C+50%2C+-120%2C+20%2C+-x%5E2%2B21.875x-115.89%29+