Suppose a particle moves along the x axis. Its x coordinate varies with time acc

Question

Suppose a particle moves along the x axis. Its x coordinate varies with time according to the expression x = 34 + 3.7t + 1.1t2, where x is in meters and t is in seconds.

(a)Determine the displacement ?x of the particle in the time interval t = 9 s to t = 20 s.
?x=_________m? The correct answer is not zero.

(b) Calculate the average velocity in the time interval t = 9 s to t = 20 s.
v = _________ . m/s ? The correct answer is not zero.

(c) Find the instantaneous velocity of the particle at t = 18.4 s.
V= ________?

Explanation / Answer

x = 34 + 3.7t + 1.1t^2 t = 9 and t=20 x = 34 + 3.7 * 11 + 1.1 * 319 = 425.6 m v = 3.7 + 2.2 t v = 3.7 + 2.2 * 11 = 27.9 v = 3.7 + 2.2 t = 3.7 + 2.2 * 18.4 = 44.18 m/s

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