Rectilinear Motion

[steep heart]

can someone explain what 'large values for t' means
is it a limit?

[unique moss]

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[steep heart]

in part d

the rest was okay

[twilit hatch]

It means to find the behaviour of s(t) for t -> +∞.

[steep heart]

so t approaches positive infinity

[steep heart]

im not sure as to what happened to the 4,
why is v limited by 4 rather than any other number

[twilit hatch]

If 1/(1 + t)^2 -> 0 for t -> +∞, what does 4 - 1/(1 + t)^2 tend to?

[modern flame]

The bigger the denominator, the smaller the fraction becomes, you can think of it this way.

[steep heart]

so as t increases
the denominator becomes smaller

hance

approaches 4

?

[twilit hatch]

Yes. The fraction approaches 0, so the whole thing approaches 4.

[steep heart]

ohh ok

i see

Thanks everyone it rlly helped