Assignment:
Determining the displacement over time by using the integration of a polynomial for time (t) that defines the velocity at time t. A solution that involves algebraic manipulation to simplify the polynomial quotient into partial fractions and then carrying out the integration.
Under certain conditions, the velocity v (in m/s) of an object moving along a straight line as a function of the time t (in s) is given by
v= (t2 +18t+21) / ((2t+1)*((t+4)2))
Find the distance travelled by the object during the first 2.10 s.
Provide complete and step by step solution for the question and show calculations and use formulas.