I need this ASAPL
i need help ASAP:
a projectile is thrown upward so that its distance above the ground after t seconds is h=-15t^2+510t. After how many seconds does it reach its maximum height?
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OpenStudy (anonymous):
@campbell_st
OpenStudy (anonymous):
derivatives
OpenStudy (anonymous):
you familiar with derivative ?
OpenStudy (anonymous):
nope
OpenStudy (anonymous):
find the vertex
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OpenStudy (anonymous):
ok here is algebraic way.
OpenStudy (campbell_st):
just find the line of symmetry which will be t = -b/2a
OpenStudy (anonymous):
line of symmetry = 17
OpenStudy (campbell_st):
b = 520 and a = -15
subsititute and and evaluate
OpenStudy (anonymous):
h=17?
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OpenStudy (anonymous):
t=17 not h.
OpenStudy (anonymous):
put this value in
h=-15t^2+510t.
to get h
OpenStudy (anonymous):
no i meant h from h=-15^2+510
OpenStudy (anonymous):
oh sorry
jimthompson5910 (jim_thompson5910):
No need to find h. They just want the value of t at it's peak.
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OpenStudy (campbell_st):
you have found the time after launch that the projectile reaches its maximum height... The max height is found by substituting t = 17 into your equation.
OpenStudy (anonymous):
so 17 seconds?
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
yes use t=17 in the
h=-15t^2+510t.
OpenStudy (anonymous):
thanks soo much!! :D
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OpenStudy (anonymous):
i dont ned that..i just need t
OpenStudy (anonymous):
need*
jimthompson5910 (jim_thompson5910):
You can find the height if you want, but the problem is only asking for the time at the max height (whatever it is, we don't need to find it)