## A snowboarder starts from rest at the top of a double black diamond hill, As she rides down the slope, GPs coordinates are used to deter mine her displacement as a function of time: x = 0.5t^3 + t^2 + 2t, where r and i are expressed in feet and seconds, respectively. Determine the position, velocity, and acceleration of the boarder t = 5 seconds. The motion of a particle is defined by the relation x = 2t^3 – 9t^2 + 12t + 10 where x and t are expressed in feet and seconds, respectively, Determine the time, the position, and the acceleration of the particle when v = 0 The motion of particle by the x = 6t^4 – 2t^3 – 123t^2 + 3t + 3. where and t are expressed in meters and seconds, respectively. Determine the time, the position and the velocity when a = 0 The motion of a defined by the relation x = t^3 – 9t^2 + 24t – 8 where x and t are expressed in inches and seconds, respectively, Determine when velocity is zero, position and the total distance traveled when the acceleration is zero. A girl operates a radio controlled model car in a vacant parking lot. girl’s position is at the origin of the xy coordinate axes, and the surface of the parking lot lies in the drives the a A(n line that the Ax coordinate is defined by the relation x(t) = 0.5t^3 – 3t^2 + 2, where x and t are in meters A and seconds, Determine when the zero, the position and total distance the acceleration is zero.

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