Question

A ball is thrown vertically upward from the ground at a velocity of 150 feet per second. Its distance from the ground after t seconds is given by How fast is the ball moving 10 seconds after being thrown?

Answer 1

so we know that \[v=v_{0}+at\]

Answer 2

yes velocity

Answer 3

or since this involves gravity our acceleration is constant so we have\[v=v _{0}-g t\]

Answer 4

velocity = increment - gravity * time?

Answer 5

so you would plug in the givens of 10s and initial velocity of 150ft/s which converts to about 45m/s

Answer 6

and you have v=45-10*10

Answer 7

velocity equals velocity initial times gravity time time

Answer 8

times*

Answer 9

oh so it is velocities starting value

Answer 10

v0

Answer 11

you are missing the "is given by" rule .... which then would have its derivative taken

Answer 12

yes

Answer 13

Its distance from the ground after t seconds is given by _______

Answer 14

ft

Answer 15

given in feet lol

Answer 16

toadill he is talking about how the question in the beginning says is given by and then it goes right to the next sentence of "How fast is..."

Answer 17

How fast is the ball moving 10 seconds after being thrown

Answer 18

recons physics formula is apt :)

Answer 19

apt?

Answer 20

yeah more errors

Answer 21

apt: appropriate or suitable in the circumstances.

Answer 22

I am just trying to review this is what the instructor gave me lol

Answer 23

\[h(t) = -\frac12gt^2+v_ot+h_o\]
\[h'(t) = v(t)\]
\[v(t)=-gt+v_o\]

Answer 24

by s(t) = -16t^2 + 150ft

Answer 25

I guess it was an image instead of text.

Answer 26

yeah, those copy pastes get eaten sometimes if they cant be processed correctly :)

Answer 27

s(t) = -16t^2 + 150t , the derivative of displacement is velocity

Answer 28

So you just find the derivative of the function?

Answer 29

yes, and plug in t=10 for the solution

Answer 30

okay thanks I am going to take a break now.

Answer 31

margarita ville?

Answer 32

yeah lol

Answer 33

:) enjoy