A particle moves along a straight path with a continuous velocity function on the…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A particle moves along a straight path with a continuous velocity function

v(t)

on the time interval

2\le t\le 6

seconds. The average velocity over this interval is

4\text{ m/s}

. State the theorem that guarantees there exists a time

t^*

(2,6)

at which the instantaneous velocity equals

4\text{ m/s}