6.15. The position y(t), velocity v(t), and acceleration a(t) are related through the equations: a(t) v(t) and v(t) = y(t).Use MATLAB for part B and C

6.15. The position y(t), velocity v(t), and acceleration a(t) are related through the equations: a(t) v'(t) and v(t) = y'(t). In this problem it is assumed that v(0) = 0 and y(0) = 0. In this case v()=ar)dr v)=r)dr. and Jo It is also assumed that a(t) is known, and the objective of this exercise is to compute the velocity and position from this information (a) Given a subinterval t t t+1, then ai = a(t) and at+1 = a(ti+1 are known. Assuming vi and yi have already been computed, use the trapezoidal rule to obtain the following expressions 1 Нан and 1 h(vi + vi+1). 2 Vi+1 (b) Suppose the interval 0



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