The position of a particle as a function of time is given by x = (2.0 m/s)t + (-3.0 m/s2)t2. (a) plot x-versus-t for time from t = 0 to t = 1.0 s. (do this on paper. your instructor may ask you to turn in this plot.) this answer has not been graded yet. (b) find the average velocity of the particle from t = 0.45 s to t = 0.55 s. m/s (c) find the average velocity from t = 0.49 s to t = 0.51 s.

Part a)

Equation of position with time is given as

since this equation is a quadratic equation

so it will be a parabolic graph between t = 0 to t = 1

part b)

at t = 0.45 s

at t = 0.55 s

now the displacement is given as

so the average velocity is given by

part c)

at t = 0.49 s

at t = 0.51 s

now the displacement is given as

so the average velocity is given by

the answer would be a

im srry but ur wrong the answer is d a smooth rock, some red dirt, and an empty bird's nest.