current attempt in progress explain in words what the integral represents and give units. ∫₇¹⁷ v(t)dt, where…

current attempt in progress explain in words what the integral represents and give units. ∫₇¹⁷ v(t)dt, where v(t) is velocity in meters/sec and t is time in seconds. the integral represents the net change in velocity between t = 7 and t = 17. net change in time between t = 7 and t = 17. net change in position between t = 7 and t = 17. rate of change of velocity between t = 7 and t = 17. average velocity between t = 7 and t = 17. the units are etextbook and media save for later

current attempt in progress explain in words what the integral represents and give units. ∫₇¹⁷ v(t)dt, where v(t) is velocity in meters/sec and t is time in seconds. the integral represents the net change in velocity between t = 7 and t = 17. net change in time between t = 7 and t = 17. net change in position between t = 7 and t = 17. rate of change of velocity between t = 7 and t = 17. average velocity between t = 7 and t = 17. the units are etextbook and media save for later

Answer

Brief Explanations:

The definite - integral of velocity with respect to time over an interval gives the net displacement (change in position) over that interval. Since velocity (v(t)) has units of meters/sec and (dt) has units of seconds, when we integrate (\int_{a}^{b}v(t)dt), the product (v(t)dt) and the integral have units of meters.

Answer:

The integral represents the net change in position between (t = 7) and (t = 17). The units are meters.