posted by dave .
a partial moves along the x-axis so that its velocity at time t, for 0< = t = < 6, is given by a differentiable function v whose graph is shown above. The velocity is 0 at t=0, t=5, and the graph has horizontal tangents at t=4. the areas of the regions bounded by the t-axis and the graph of v on the intervals [0,3], [3,5] and [5,6] are 8,3 and 2, respectively. at time t= -2.
a) for 0 < = t < = 6, find both the time and the position of the particle when the particle is farther to the left.
b) for how many values of t where 0 < = t < = 6 is particle at x= -8?
c) on the interval 2<t<3 is the speed of the particle increasing or decreasing?
d) During what time intervals if any is the acceleration of the particle negative?
Without the graph that is supposed to be "above", I don't see how we can help you find the answers.