Math help please!
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? (4 points)
Stacey Warren - Expert brainly.com
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Okay so here you have your equation
H(t) = -16t2 + vt + s
You are given the initial height = 140 = s
And the initial speed = v = 100 ft/s
16 t^2 + 100 t + 140 = H(t)
Since you want to find the time it took to hit the ground, you are looking for the x intercept. Set the equation equal to 0 then use the quadratic formula.
16 t^2 + 100 t + 140 = 0
ok i understand that but im unsure of how to solve it
Do you know the quadratic formula?
yes, so i would just use that?!!!
Yes. DO you see how the formula resembles a quadratic. The only difference is that it is a t and not an x
You should get 6.53. That rounds to 7.
-16 t^2 + 100 t + 140 = 0
I forgot the negative.
ok yes i got that answer thanks so much!!!!!!! ;)
do you mind helping with one more?
Darlene kicks a soccer ball off the ground and in the air, with an initial velocity of 34 feet per second. Using the formula H(t) = -16t2 + vt + s, what is the maximum height the soccer ball reaches? (4 points)
Im getting 17.7 feet?