答案：D

解析：

Choice D is correct. To begin, write the equation in slope-intercept form: v=–9.8t+152.

In this equation the slope of v with respect to t is –9.8, and the v-intercept is 152.

Because the v-intercept is 152, the value of v is 152 when t is 0. By the definitions of v and t, the vertical velocity of the debris at the time of eruption was 152m/s.

The debris had a vertical velocity of 152m/s at the time of eruption.