Question

A stone is thrown upward with an initial velocity of 14 meters/second (v0) from a cliff edge 30m high (s0). Write the function s(t), which defines its height above the ground t secs later. When will the stone reach its highest elevation? What is the stone's highest elevation above its initial position? When will the stone hit the ground below?

Answer 1

Welcome to openstudy! i latvian, I tell joke

Answer 2

Latvian is rub lamp find genie. Genie say, “What is three wishes?” Latvian say, “I wish potato!” Then, POOF! Potato! Latvian so happy! “Oh! Is potato! Is potato!” say Latvian. Genie ask, “What is next wish?” Latvian is say, “I wish you go away so can enjoy potato!” POOF! Too bad. Also, was only lamp.

Answer 3

I try new joke out: Latvian #1: Knock knock

Latvian #2: who there? I kid! I see you, we burn door for warming!

Answer 4

\[S (t) = S_0 +V_0t + \frac{1}{2}gt^2\] your \(S_0=30~~V_0= 14 ~~and ~~g=9.8

Answer 5

okay thank you!:) this helps a lot!

Answer 6

latvian man wall in bar bartender say" do want potato?" Lativan much happy. Soldier walk in and take all potato. Bartender and latvian much sad

Answer 7

after putting the number in, you have the equation for the height , take derivative to get the equation of the velocity, at the highest point, velocity =0, find out the time from that equation

Answer 8

thank you this makes a lot of sense. but how did you get 9.8 for g?

Answer 9

after having the time it gets the highest point, plug it back to the function S(t) to have that height. Then, minus the initial height to get part C
g = 9.8 is universal unit of gravitational acceleration.

Answer 10

take a look at this link http://en.wikipedia.org/wiki/Gravitational_acceleration

Answer 11

awesome thank you sooo much!!!!!!

Answer 12

np

Answer 13

i just have one more question actually, what is the derivative, and how do you take it from the equation?

Answer 14

you like joke?

Answer 15

they come from Latvia. my hom