The area under a graph of v_x vs.t from t = t_i to t = t_f represents A)x_i. B)x_f. C)x_f − x_i. D) (x_i + x_f). E)x_i + x_f.

Question

Quizplus · Accepted Answer

The area under a graph represents the integral of the function with respect to the given variable. In this case, the area under the graph of vS1U1B1xS1U1B0 vs. t represents the integral of vS1U1B1xS1U1B0 with respect to t. The limits of integration are from t = tS1U1B1iS1U1B0 to t = tS1U1B1fS1U1B0.

Thus, the answer is the difference between the values of xS1U1B1 at t = tS1U1B1fS1U1B0 and t = tS1U1B1iS1U1B0, which is xS1U1B1fS1U1B0 − xS1U1B1iS1U1B0. Therefore, the best choice is C.

The Area Under a Graph of Vx Vs

The Area Under a Graph of V_x Vs