Answer:
0.766 m
Step-by-step explanation:
initial velocity of puck, u = 6 m/s
final velocity of puck, v = 40 m/s
time taken by the puck, t = 3.33 x 10^-2 s
Let the acceleration of puck is a and the distance traveled by the puck is s in the given time.
Use first equation of motion
![v=u+at](https://img.qammunity.org/2020/formulas/physics/middle-school/8u69t2dm31jy4f6e8h3i9msisjzkrvuvq4.png)
![40=6+a * 3.33* 10^(-2)](https://img.qammunity.org/2020/formulas/physics/high-school/s5wvdjy3mbvg92padh1o7nyd6zmezuhjxa.png)
a = 1021.02 m/s^2
Now to find the distance, use third equation of motion
![v^2=u^2+ 2* a * s](https://img.qammunity.org/2020/formulas/physics/high-school/t2zsa4ragu0y2u0xhodsoo1355nvvkaqit.png)
![40^2=6^2+ 2* 1021.02 * s](https://img.qammunity.org/2020/formulas/physics/high-school/w6twdnt4xtuvj322f58nl29pgv1apoitmv.png)
s = 0.766 m
Thus, the distance traveled by the puck is 0.766 m.