On the other hand, the displacement of an object during the time interval {{MATH_223}} is given by {{MATH_224}} The change in position can be written in terms of {{MATH_225}}, the position function of the object {{MATH_226}} But, we know that {{MATH_227}} is an antiderivative of {{MATH_228}}. Therefore, {{MATH_229}} If {{MATH_230}}, we get {{MATH_231}} So, the position function is given by {{MATH_232}} Now we can compute the displacement {{MATH_233}} {{CMD_234}} {{CMD_235}}