An object is moving along a horizontal path with its position modeled by the equation X(1) = t - 21- - 31, where position is measured in meters and time in seconds. What is its velocity v(1 )and accelerationa (t)? O v (t) = -2t - 3 and a(1) = -2 ov(t) = 3t and a(t) = 6t - 2 ov(t) = 312 - 4t - 3 and a(t) = 6t - 4 o v (t) = 6t - 2 and a(t) = 312 - 2t - 3For f (x) = 2x - x + 1, describe the concavity off (X). o f (x) is concave up for X O|- and has no concavity at X = o f (x) is concave down for X 6 and has no concavity at X = o f(x) is concave up for X - and has no concavity at X = o f(x) is concave down for X and has no concavity at X =If an object's position is described by d ( t ) = -3 + 12 where d is distance (meters) and t is time (seconds). 3- 2 Which of the following describe the behavior of d" (t)? o d" (t) is always negative. o d"(t) is positive when d(t) is concave up, t > o d" (t) is always positive.Which of the following are true? O f (x) has no concavity when f "(x) = 0. O f (x) has no concavity when f '(x) = 0. O f (x) has no concavity when f (x) = 0. O f (x) has no concavity when f '(x) = 0 and f "(x) > 0.For f(x) shown below, which of the following graphs is f "(x)? -1 + O -2 O -2 1 2 wt -2- O -2 O -3 -2 -1 i wtFor f(x) shown below, which of the following graphs is f "(x)? 4.8 3.2+ 1.6. -1.5 -1.6+ 1.5 wt -3.2 -4.8+ 1.8 O -2 -1 2 O -3 -1.5 -1.6. 1.5 wt -3.2 -4.8 4.8+ 3.2+ 14.8+ 1.6+ O -3 -15 0 16 -1.6+ 15 O - 15 -3.2 + -1.6 1.5 4.8+ -3.2 -4.8Given the graph off "()6 belpw, which are possible graphs of fix]