4. The acceleration a(t) of an object is the rate of change of its velocity v(t). That is, \frac{d v}{d t}=a(t) The velocity v(t) is the rate of change of the distance travelled s(t). That is, \frac{d s}{d t}=v(t) Suppose a car takes off with an acceleration of 6 m/sec2. Its speed after 5 seconds is 38 m/sec and the distance travelled is 300 m. Find the equation for the distance travelled s(t).

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