PLEASE HELP ME!!! =)
A firecracker shoots up from a hill 140 feet high, with an initial speed of 100 feet per second. Using the formula H(t) = -16t2 + vt + s, approximately how long will it take the firecracker to hit the ground?
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OpenStudy (anonymous):
Would the equation be h(t) =-16t^2 +140t +100 ?
OpenStudy (sissyedgar):
Im not really sure, but i tink ur rite on ur formula!
OpenStudy (anonymous):
Okay thanks =)
OpenStudy (sissyedgar):
ur welcome
OpenStudy (anonymous):
@e.mccormick @Nnesha @pooja195
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jimthompson5910 (jim_thompson5910):
v = initial speed
v = 100
s = initial height
s = 140
OpenStudy (anonymous):
And it takes it nine seconds to hit the ground, correct?
jimthompson5910 (jim_thompson5910):
Incorrect. You have v and s mixed up.
OpenStudy (anonymous):
Oh, i'm sorry, so could you explain pls ?
jimthompson5910 (jim_thompson5910):
do you see how v = 100 and s = 140?
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jimthompson5910 (jim_thompson5910):
v = initial speed or velocity
s = initial height
OpenStudy (anonymous):
Yes sir =)
jimthompson5910 (jim_thompson5910):
so your equation should be \[\Large h(t) = -16t^2 + 100t + 140\]
jimthompson5910 (jim_thompson5910):
it hits the ground when h(t) = 0 which is why you need to solve \[\Large 0 = -16t^2 + 100t + 140\]
OpenStudy (anonymous):
okay thx =)
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OpenStudy (anonymous):
so it's seven seconds?
jimthompson5910 (jim_thompson5910):
did you round to get 7? or did you get exactly 7?
OpenStudy (anonymous):
I rounded
OpenStudy (anonymous):
Is that wrong?
jimthompson5910 (jim_thompson5910):
what did you get before you rounded?
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OpenStudy (anonymous):
7.428
jimthompson5910 (jim_thompson5910):
I'm getting 7.427978620 which is basically what you have. Nice work.