High School

The velocity of a cart is determined to be [tex]1.48 \, \text{m/s} \pm 0.09 \, \text{m/s}[/tex]. Determine the range of the velocity by stating the minimum possible velocity and the maximum possible velocity.

A. 1.39 m/s to 1.57 m/s
B. 1.39 m/s to 1.48 m/s
C. 1.48 m/s to 1.57 m/s
D. 1.39 m/s to 1.66 m/s

Answer :

Final answer:

The range of the velocity can be determined by subtracting and adding the uncertainty to the given velocity. The minimum possible velocity is 1.39 m/s and the maximum possible velocity is 1.57 m/s.

Explanation:

The velocity of a cart is given as 1.48 m/s with an uncertainty of plus or minus 0.09 m/s.

To find the range of the velocity, you subtract the uncertainty from the given velocity to find the minimum possible velocity, and add the uncertainty to the given velocity to find the maximum possible velocity.

The minimum possible velocity is 1.48 m/s - 0.09 m/s = 1.39 m/s.

The maximum possible velocity is 1.48 m/s + 0.09 m/s = 1.57 m/s.

Therefore, the range of the velocity would be from 1.39 m/s to 1.57 m/s.

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