Calculate the Distance Covered by a Body with Change in Time

Question

The following data of the velocity of a body is given as a function of time.

 
Time (s)              4      7    10     15       
Velocity (m/s)    22     24    37    46    
    
Obtain your best estimate of the distance in meters covered by the body from t = 5 sec to t = 13 sec using either the Simpson’s 1/3rd rule or the trapezoidal rule. Choose as many segments as you please.

Summary

The question belongs to Mechanical Engineering and the question is about calculating the distance covered by a body for change in time using the Simpson’s 1/3rd rule or the trapezoidal rule. The solution has the calculations clearly given.