An object object travels 24 meters in the +x direction for 3.5 seconds, and then immediately travels some distance in the -x direction. After a total time of 9.3 seconds, the object's average velocity is 0 m/s. What distance did the object travel in the -x direction?

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CarliReifsteck CarliReifsteck · Answer 1 · 2019-09-17T13:51:33+02:00

Answer:

The distance in -x axis is 39.77 m

Explanation:

Given that,

Distance in +x axis = 24 m

Time = 3.5 sec

Total time = 9.3 sec

Average velocity = 0

We need to calculate the velocity in +x axis

[tex]v=\dfrac{d}{t}[/tex]

Put the value into the formula

[tex]v=\dfrac{24}{3.5}[/tex]

We need to calculate the velocity in -x axis

[tex]v=\dfrac{x}{9.3-3.5}[/tex]

We need to calculate the distance

Using formula of average velocity

[tex]\dfrac{\dfrac{24}{3.5}-\dfrac{x}{9.3-3.5}}{2}=0[/tex]

[tex]x=\dfrac{24}{3.5}\times5.8[/tex]

[tex]x=39.77\ m[/tex]

Hence, The distance in -x axis is 39.77 m.