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math456
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If a ball is thrown into the air with a v of 40 ft/s, it's height in ft t seconds late is given by y= 40t16t^2. Find the avg velocity for the time period beginning when t=2 & lasting 0.5 sec, 0.05 sec?
 2 years ago
 2 years ago
math456 Group Title
If a ball is thrown into the air with a v of 40 ft/s, it's height in ft t seconds late is given by y= 40t16t^2. Find the avg velocity for the time period beginning when t=2 & lasting 0.5 sec, 0.05 sec?
 2 years ago
 2 years ago

This Question is Closed

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
so the distance covered / the time interval is what you're looking for...
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
do you know how to find the distance covered between t=2 and t=2.5?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
The average velocity!
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
Yea it's like u plug in the 2 in the equation and then distance covered in 2distance coverd in 2.5/22.5
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
So in this case is .5 sec= 0?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
And 0.05=7.2
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
find y(2) find y(2.5)
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
then find the difference between those two heights
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
then divide by the time interval (.5s)
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
But 2.5 is not in the question..
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
2 + .5 = ?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
2.5 ohh gotch ya so all I do is divide by the 0.5, 0.05?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
So for 0.5 it's 32?
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
let me check
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
And for 0.05 is 320?
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
don't think so... how'd you get that
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
Y(2)y(2.5)/0.05
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
y(2) and y(2.05)
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
U r adding the values to 2.0?
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
height at 2 seconds and height .05 seconds later ( y(2.05) )
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
so for 0.01 second its y(2)y(2.01)
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
\[(d _{f}  d _{i})/(t _{f} t _{i})\]
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
okay how abt if i want to find the estimate instantaneous velocity when t=2
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
if you're allowed to use calculus you just take the derivative...
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
if not, you take the limit of the avg. velocity expression as t>0
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
ummm not sure what u meant so when t=2 its t>0
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
the third alternative is using the equation that you might've been given where the derivative is already taken for you...
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
something like \[V(t) = V _{o} +at\]
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
seen that before?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
can i just do like 3214.76M0.50.05N
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
yea i hv seen it
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
sorry here m is the divide sign
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
The three ways I mentioned are the ways to do it, not sure what you typed there or what you're trying to do.
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
You all good on this? Or do you have another question?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
how how can i take the limit of avg. velocity at t>0?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
@Algebraic!
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
for a specific value of t?
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
I'll use the sketch pad to show you
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
okay, thanks
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
dw:1347077529182:dw
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
that's the first term...
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
hmmm how do I find the delta t value?
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
dw:1347077587650:dw
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
that's the second term
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
all that gets divided by delta t
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
then you take the limit as delta t >0
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
so the limit as x approaches to 0 is 16
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
for inst. velocity?
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
should be 24
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
let me check again..
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
okay got it nw..
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
thanks for ur help..
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
No problem!
 2 years ago
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