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M1 Vectors question

Here's the question: https://prnt.sc/ntzib4

And this is the answer: https://prnt.sc/ntzit8

For the first part, when we integrate 'a' we get the velocity(I'm pretty sure it says 'a' when it means 'v') So why are we allowed to assume the velocity=speed.

And for the second part, if we integrated to find the velocity in the first part, then it would break the speed limit when v<-40 too since |v|>40.
Original post by dont know it

For the first part, when we integrate 'a' we get the velocity(I'm pretty sure it says 'a' when it means 'v') So why are we allowed to assume the velocity=speed.


Velocity is speed with a direction. In the case of the first hour it's always >=0, so velocity and speed are the same.


And for the second part, if we integrated to find the velocity in the first part, then it would break the speed limit when v<-40 too since |v|>40.


True, but v is never less than 0 in the first hour.

180t180t2=180t(1t)180t-180t^2 = 180t (1-t) and this is never negative for t in the interval [0,1]

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