High School

An object is traveling in the x-direction with an average velocity of 16 meters per second. Its initial time is 3 seconds and its final time is 9 seconds. What is its initial displacement if its final displacement is 100 meters?

A. 16.7 m
B. 97.3 m
C. 4 m
D. 32.7 m

Answer :

Final answer:

Using the definition of average velocity as total displacement divided by total time, the initial displacement is calculated to be 4m.

Explanation:

To solve this problem, we can use the concept of average velocity which is defined as the total displacement divided by the total time. In this case, we are given the average velocity (16 m/s) and the total time (9s-3s=6s). Thus, the total displacement during this time is (16 m/s)*(6s) = 96m. Since the final displacement is given as 100m, the initial displacement must be 100m - 96m = 4m. Therefore, the correct answer is C. 4 m.

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