Question

While watching a small fireworks display from a building 204 feet tall, you observe a rocket that travels from ground to eye level in 6 seconds, and explodes. What is the maximum speed that you can guarantee that the rocket reached?

Answer 1

Is there a formula for velocity?

Answer 2

distance/t?

Answer 3

I was thinking of Galileo's equation(s).

Answer 4

oh

Answer 5

https://sites.google.com/site/urbangeekclassroomsg/using-word-documents/chapter-2-speed-velocity-and-acceleration
s(t)=ut+.5*at^2
a is acceleration
u is the initial velocity
t is time
s is the distance going up since we are going up

Answer 6

so we have to solve for u?

Answer 7

It looks like we can find the final velocity of this situation...but we need the initial velocity.

Answer 8

how would we find that?

Answer 9

do we have to take the derivative?

Answer 10

I think we can say the initial velocity is 0 since we started there.

Answer 11

ok

Answer 12

we also dont know the acceleration

Answer 13

acceleration would be
\[\frac{ \delta V_f-\delta V _i}{t_f-t_i}\]

Answer 14

That is the change of velocity over the change of time

Answer 15

we dont know v final?

Answer 16

that would be the acceleration

Answer 17

we do know v final

Answer 18

we said it earlier

Answer 19

i said we could find it pretty easily
didn't actually say the number

Answer 20

v final is the whole quation?

Answer 21

know max v not final v

Answer 22

no*

Answer 23

im confused :P

Answer 24

final v=final speed=distance/time

Answer 25

the speed isn't a constant

Answer 26

that is why we have this function of time that s function

Answer 27

ok