Vertical motion problem (11-13); chuck stone is standing atop a high platform. he fires a rock up
into the air with his slingshot. while it is in flight, the rock's distance above the ground is a
quadratic function of time. at times 1, 2, and 3 seconds after he fired it, the rock is 68, 96, and
114 meters above the ground, respectively. this shows that the graph of the quadratic function
includes the points:
(1,68) (2,96) (3,114)
11. write the particular equation for the rock's distance above the ground (d) as a function of
time (t).
12. what is the highest the rock will be above the ground?
13. how high is the platform? (the rock is at the platform level when t = 0.)

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !

explanation:

step-by-step explanation:

a long term investor

step-by-step explanation:

because he is a long term investor