Volcano Puu Puai in Hawaii was formed in 1959 when a massive “lava fountain” erupted. The lava shot from the ground with an initial velocity of 350 feet per second. a. For how long was the lava in the air until it returned to the ground?
b. What was the maximum height of the lava?
c. After how many seconds did the maximum height occur?

a)Tt = 21,41 s

b) y(max) = 1873 ft

c)  t = 10,70 s

Step-by-step explanation:

We assume that this is a case of vertical shooting then:

a) Vf  = V₀  -  g*t

Vf = 0         -g*t = -V₀

t  =  V₀ /g         t  =  350 ft/s / 32,7 ft/s²

t  =  10,70 s     time for lava to reach y maximum

a) Then  Tt = 2*10,7     Tt = 21,41 s

Lava was in the air for  Tt = 21,41 s

b) y = y₀ + v₀*t - (1/2 )*g*t²

for y = ymax  we get:

y(max)  = 0 + 350*10,70 - 0,5* 32,7* ( 10,70)²

y(max)  =  3745  - 1872

y(max) = 1873 ft

c) t = 10,70 s

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step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|