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Using calculus methods, solve these problems:
(a) The velocity, v, of a vehicle, with uniform acceleration, is given by v = (3t + 2) m/s, where t is the
time in seconds.

Derive an expression for the distance travelled, s, by integration

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RealNfw

Answer:

[tex]s = \frac{3}{2} t^2 + 2t + c[/tex]

Step-by-step explanation:

To get from velocity to displacement we integrate.

Integrating (3t+2) we get:

[tex]s = \int\ (3t+2) \, dt \\= (\frac{3}{2} t^2 + 2t + c)\\\\[/tex]

Due to it being an indefinite integral we have to add a constant, c, to the end.

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