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Mathematics 14 Online
OpenStudy (anonymous):

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?

OpenStudy (anonymous):

@campbell_st

OpenStudy (anonymous):

derivatives

OpenStudy (anonymous):

you familiar with derivative ?

OpenStudy (anonymous):

nope

OpenStudy (anonymous):

find the vertex

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?

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.

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

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)

OpenStudy (anonymous):

yea i know..thanks!! :)

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