Re: newtons laws


"brendanmenezes" <brendanmenezes@xxxxxxxxxxx> wrote in message
news:b71424ef-cc56-4363-84da-08f62cc5c4c1@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Joe was driving on the highway a car ahead of him was driving far
below the speed limit so he decided to pass. In the first second he
gained(gained means to get nearer to something you are chasing) 5m on
the car and as he accelerated he gained 1.5 times as much distance in
each second as he had the second before. If there was 30 m between joe
and the car he was passing then how long did it take him to pass

Correct answer
537/100s
so is it
velocity = 5 m/s

no.

Lets say in the 1st second you gain x meters (x = 5).

In the second you gain 1.5 * x
In the third you gain 1.5 * 1.5 * x
In the forth you gain 1.5 * 1.5 * 1.5 x
In the nth second you gain 1.5^(n-1) * x

After time T all that distance gained must add up to 30.

x (1 + 1.5^1 + 1.5^2 + 1.5^3 +.....1.5^(n-1) +......1.5^(T-1)) = 30

solve for T



.

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