Answered

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At time​ t, the position of a body moving along the​ s-axis is s=t^3 -18t^2+60t m. Find the displacement of the body from t=0 to t=3.

a. 56 m
b. 67 m
c. 105 m
d. 45 m

Sagot :

facundo3141592

The displacement between t = 0 and t = 3 is 45 meters, so the correct option is d.

How to find the displacement?

The displacement is defined as the difference between the final position and the initial position.

The initial position is what we get when we evaluate in t = 0.

s = 0^3 -18*0^2+60*0 = 0

The initial position is 0 meters.

The initial position is what we get when we evaluate in t = 3.

s = 3^3 -18*3^2+60*3 = 45

The final position is 45 meters.

Then the displacement is:

D = 45m - 0m = 45m

The correct option is d.

If you want to learn more about displacements:

https://brainly.com/question/4931057

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