An object\'s position as a function of time is given byr(vector) = 12t(ihat) + (

Question

An object's position as a function of time is given byr(vector) = 12t(ihat) + (15t - 5.0t^2)jhat m, where t is time inseconds. A) What is the object's position at t = 2.0s? B) What is its average velocity in the interval from t = 0 tot = 2.0s? C) What is its instantaneous velocity at t = 2.0s? An object's position as a function of time is given byr(vector) = 12t(ihat) + (15t - 5.0t^2)jhat m, where t is time inseconds. A) What is the object's position at t = 2.0s? B) What is its average velocity in the interval from t = 0 tot = 2.0s? C) What is its instantaneous velocity at t = 2.0s?

Explanation / Answer

(A) r(2) = 24 i + 10 j m (B) Vav = r/t = [r(2) - r(0) ] / 2 = [24 i + 10 j- 0 i - 0 j] / 2 = 12 i + 5 j m/s (C) v = dr/dt = 12 i + (15 - 10t) j m/s = 12 i - 5j m/s

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