H(t) = Ho +Vot - gt^2/2
Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2
H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2
Maximun height is at the vertex of the parabole
To find the vertex, first find the roots.
58.8 + 19.6t - 4.9t^2 = 0
Divide by 4.9
12 + 4t - t^2 = 0
Change sign and reorder
t^2 - 4t -12 = 0
Factor
(t - 6)(t + 2) =0 ==> t = 6 and t = -2.
The vertex is in the mid point between both roots
Find H(t) for: t = [6 - 2]/2 =4/2 = 2
Find H(t) for t = 2
H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4
Answer: the maximum height is 78.4 m
Answer:
meema, papa, and then auntie jo
Step-by-step explanation:
you need to find the slope of each of them and then determine which one is the fastest and which one is the slowest.
meema: 48-24/4-2 = 4/2 = 2
papa: 40-24/5-3 = 16/2 = 8
auntie jo: 45-18/5-2 = 27/3 = 9
im in algebra two so you can trust my answer. happy holidays and stay safe!
8, 15, 17
You can do this by using the Pythagorean Theorem and setting the sides equal to
shorter leg = x
longer leg = x + 7
hypotenuse = 2x + 1
Then solve so that one side is equal to zero and use the quadratic formula.
