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1 m/s² (1 metre per second per second) is a measure of acceleration, NOT speed.

Assuming you mean a swim rate of 1.0 m/s (1 metre per second), then:

time = distance ÷ speed

= 900 m ÷ 1 m/s

= 900 s

60 s = 1 min

→ 900 s = 900 ÷ 60 min

= 15 minutes

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Assuming you really do mean that you swim with a constant acceleration of 1 m/s² and you start at 0 m/s, then:

s = ut + ½at²

s = 900 m

u = 0

a = 1 m/s²

t = unknown

→ 900 m = 0 m/s × t + ½ × 1 m/s² × t²

→ 900 m = ½t²

→ t² = 1800 s²

→ t ≈ 42.43 s

If you start at 0 m/s and accelerate at 1 m/s², then it will take approx 42.43 seconds to cover 900 m.

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Q: How long would it take you to swim across a lake that is 900 meters across if you swim at 1.0 ms2?
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