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Mathematics 21 Online
OpenStudy (anonymous):

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?

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

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?

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 =)

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?

OpenStudy (anonymous):

7.428

jimthompson5910 (jim_thompson5910):

I'm getting 7.427978620 which is basically what you have. Nice work.

OpenStudy (anonymous):

lol Thanks =)

jimthompson5910 (jim_thompson5910):

you're welcome

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