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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? <<<
 9 months ago
 9 months ago
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? <<<
 9 months ago
 9 months ago

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hartnnBest 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
 9 months ago

hartnnBest ResponseYou've already chosen the best response.1
use the same formula as in part a)
 9 months ago

kryton1212Best 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
 9 months ago

hartnnBest 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 \(\large a_1 \dfrac{1r^n}{1r}\)
 9 months ago

kryton1212Best ResponseYou've already chosen the best response.0
we need to find n. r=2/3. how about a1?
 9 months ago

sauravshakyaBest ResponseYou've already chosen the best response.1
whats the problem?
 9 months ago

sauravshakyaBest ResponseYou've already chosen the best response.1
5.8 = {2(1(2/3)^n)}/(1(2/3))
 9 months ago

sauravshakyaBest ResponseYou've already chosen the best response.1
did u solve for n?
 9 months ago

kryton1212Best ResponseYou've already chosen the best response.0
\[2(\frac{ 1(\frac{ 2 }{ 3 } )^{n}}{ 1(\frac{ 2 }{ 3 }) })=5.28\]
 9 months ago

sauravshakyaBest ResponseYou've already chosen the best response.1
no...... it is 5.8
 9 months ago

kryton1212Best ResponseYou've already chosen the best response.0
yaya, typing mistake
 9 months ago
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