SOLUTION: A ball is thrown from 1 m above ground level. It's velocity is v(t) = 29.4-9.8t ms^-1. a. Find the displacement function s(t) (I found this: 29.4-4.9t^2+1 b. Find the maximu

Algebra ->  Functions -> SOLUTION: A ball is thrown from 1 m above ground level. It's velocity is v(t) = 29.4-9.8t ms^-1. a. Find the displacement function s(t) (I found this: 29.4-4.9t^2+1 b. Find the maximu      Log On


   

Question 1192812: A ball is thrown from 1 m above ground level. It's velocity is v(t) = 29.4-9.8t ms^-1.
a. Find the displacement function s(t) (I found this: 29.4-4.9t^2+1
b. Find the maximum height reached by the ball (need help in this).
Found 3 solutions by Boreal, ikleyn, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
s(t)=-4.9t^2+29.4t+1 (you need a "t" for the second term, since you are anti-differentiating 29.4 dt)
the vertex for this negative quadratic is at -b/2a=-29.4/-9.8=3
so it is at t=3 seconds.
s(3)=88.2-44.1+1=45.1 m
graph%28300%2C300%2C-2%2C5%2C-20%2C50%2C45.1%2C-4.9x%5E2%2B29.4x%2B1%29

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
A ball is thrown from 1 m above ground level. It's velocity is v(t) = 29.4-9.8t ms^-1.
a. Find the displacement function s(t) (I found this: 29.4-4.9t^2+1
b. Find the maximum height reached by the ball (need help in this).
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    - Introductory lesson on a projectile thrown-shot-launched vertically up
    - Problem on a projectile moving vertically up and down
    - Problem on an arrow shot vertically upward
    - Problem on a ball thrown vertically up from the top of a tower
    - Problem on a toy rocket launched vertically up from a tall platform

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Start reading from the very first lesson in this list and  LEARN  FROM  THERE  on how to write  CORRECTLY
the basic equation for the height,  because your equation in your post is written  INCORRECTLY.


You will know the subject, only when you learn the meaning of each term in the height equation.

Very first lesson in the list will teach you about it.



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
it's = it is