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

783 grams

Explanation:

Here mass is given in kg

Some of the prefixes of the SI units are

1 gram = 10⁻³ kilogram

1 milligram = 10⁻⁶ kilogram

1 microgram = 10⁻⁹ kilogram

1 nanogram = 10⁻¹² kilogram

The number is 0.783

Here, the only solution where the number of significant figures is three is gram. If any other prefix is chosen then the significant figures will increase

So, 0.783 kg = 783 grams