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kryton1212
Group Title
A snake starts moving at a speed of 2 m per second towards a target which is 5.8m away. In each second, the snake only moves twothirds of the distance it traveled in the previous second.
(a) Find the total distance that the snake has moves in the first five seconds. [Done; 5.21m]
(b) Find the total distance that the snake can travel. [Done; 6m]
>>>(c) When will the snake reach the target? <<<
 one year ago
 one year ago
kryton1212 Group Title
A snake starts moving at a speed of 2 m per second towards a target which is 5.8m away. In each second, the snake only moves twothirds of the distance it traveled in the previous second. (a) Find the total distance that the snake has moves in the first five seconds. [Done; 5.21m] (b) Find the total distance that the snake can travel. [Done; 6m] >>>(c) When will the snake reach the target? <<<
 one year ago
 one year ago

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kryton1212 Group TitleBest ResponseYou've already chosen the best response.0
@hartnn
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
the sum of distance, total distance = 5.8 so, plug in S= 5.8 in the equations you used, and keep time 't' as t only
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
use the same formula as in part a)
 one year ago

kryton1212 Group TitleBest ResponseYou've already chosen the best response.0
in part a, i work like this: 2+2*[(2/3)+(2/3)^2+...+(2/3)^4] =2+2*{[(2/3)(1(2/3)^4]/[1(2/3)]} =5.21
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
so, for part c, you need to find number of terms, right ? let that be n 2+2* [(2/3)+(2/3)^2+....(2/3)^n] (2/3)+(2/3)^2+....(2/3)^n is the geometric series a1 = 2/3, r=2/3 so, instead of (2/3)+(2/3)^2+....(2/3)^n write \(\large a_1 \dfrac{1r^n}{1r}\)
 one year ago

kryton1212 Group TitleBest ResponseYou've already chosen the best response.0
we need to find n. r=2/3. how about a1?
 one year ago

kryton1212 Group TitleBest ResponseYou've already chosen the best response.0
@sauravshakya
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
a1=2m
 one year ago

kryton1212 Group TitleBest ResponseYou've already chosen the best response.0
ohh yes
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
whats the problem?
 one year ago

kryton1212 Group TitleBest ResponseYou've already chosen the best response.0
(2/3)^n = 3/25 ?
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
then use log
 one year ago

kryton1212 Group TitleBest ResponseYou've already chosen the best response.0
...wait
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
5.8 = {2(1(2/3)^n)}/(1(2/3))
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
did u solve for n?
 one year ago

kryton1212 Group TitleBest ResponseYou've already chosen the best response.0
n=5.23??
 one year ago

kryton1212 Group TitleBest ResponseYou've already chosen the best response.0
\[2(\frac{ 1(\frac{ 2 }{ 3 } )^{n}}{ 1(\frac{ 2 }{ 3 }) })=5.28\]
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
no...... it is 5.8
 one year ago

kryton1212 Group TitleBest ResponseYou've already chosen the best response.0
yaya, typing mistake
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
u used 5.28
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
I got 8.39
 one year ago

kryton1212 Group TitleBest ResponseYou've already chosen the best response.0
got it now, thanks
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
welcome
 one year ago
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