Asked by Mr Homie

A car is stopped at a red light, and starts moving at time t = 0 when the light turns green, with an acceleration given by a(t) = √t, with t given in seconds, and distances given in metres.

a) Find a formula for the velocity v(t), via integration.

b) How long will it take for this car to travel 100 metres, from the moment it started moving?

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