Science Class 9 Other

Asked by GIANSH GUPTA KHUNDKER · BIRLA BRAINIACS

An object moves along a straight line such that its velocity v as a function of time t is given by v(t) = 3t² - 12t + 9 (in m/s). What is the total distance traveled by the object in the time interval from t = 0 s to t = 3 s?

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Answer: C. 8 m

Correct Answer: C) 8 meters
Detailed Solution:
1. Understand Distance vs. Displacement: Total displacement is the integral of velocity, but total distance is the integral of speed (the absolute value of velocity, |v(t)|). We must check if the object changes direction.

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