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i think the answer is 7 seconds
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) 17.7 feet 18.1 feet 19.3 feet 20.2 feet Im getting 17.7 feet?
height + velocity + gravity https://www.youtube.com/watch?v=K7b-da1o3BY
Well what do you know? What is your initial velocity and initial height?
the velocity is 34 feet and i believe the unital height is 0 feet
assuming since the problem doesnt say
for the height
Yup. So plug them into the equation for v and s
H(t) = -16t2 + 34t + 0
yes so the answer would be 18.1 feet ??
Thanks so much for walking me through it!!!!!!!
You're welcome (: