S0 negative direction left 5 v velocity 4 3 2 1 0

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Unformatted text preview: raight line positive direction is to the right. s=0  (negative direction = left) 5 (v = velocity) 4 3 2 1 0 -1 -2 -3 -4 -5 0 1 2 3 4 5 6 7 8 9 10 (t = time) (positive direction = right) (a) (1 point) Would you say that at time t = 1 the particle is moving to the left, moving to the right, or not moving at all? Please explain. (b) (1 point) Would you say that at time t = 3 the particle is moving to the left, moving to the right, or not moving at all? Please explain. (c) (2 points) Find (estimate) two values of t at which time the particle is not accelerating. (d) (2 points) Find (estimate) a value of t at which time the particle is moving to the left, but with zero acceleration. (e) (2 points) According to this graph, at how many distinct times is the particle at rest? (f) (2 points) For which values of t is the particle not only at rest, but is not accelerating (i.e., has no forces acting on it)? (g) (2 points) According to this graph, at how many distinct times is the particle not accelerating? 7. (6 points) Let f and g be differentiable functions and assume that f (1) = 2, f (1) = 1, g (1) = −1, g (1) = 0. Compute h (1), given that h(x) = x2 f (x)g (x). 8. Note that the point (1, 2) is on...
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