Original
This is a left Riemann sum for the function {{MATH_173}} on the interval {{MATH_174}}, when {{MATH_175}}.
This scenario is illustrated in the figure below.
{{CMD_176}}
{{ENV_177}}
{{CMD_178}}
Next, we approximate the displacement of the object assuming that the velocity is constant during one-second time intervals, and that velocity is equal to the velocity at the beginning of each time interval.