A soccer ball moving with an initial speed of 1.8 m/s is kicked with a uniform acceleration of 6.1 m/s?, so that the ball's new speed is 9.4 m/s.
How far has the soccer ball moved?

7.0 m

Explanation:

Step 1: Given data

Initial speed of the ball (u): 1.8 m/s

Acceleration (a): 6.1 m/s²

Final speed of the ball (v): 9.4 m/s

Step 2: Calculate the displacement (s) of the ball

The ball is moving with a uniformly accelerated rectilinear motion. We can calculate the displacement using the following suvat equation.

v² = u² + 2 × a × s

s = (v² - u²)/2 × a

s = [(9.4 m/s)² - (1.8 m/s)²]/2 × 6.1 m/s²

s = 7.0 m

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