Question

If a particle starting from rest is moving with a uniform acceleration of 10 metre per second square then the final velocity when it covers a distance of 2 kilometres is

Answer 1

Answer

Given:

Initial velocity of particle = 0 m/s

acceleration (uniform) = 10 m/s²

Distance travelled = 2 km

To find:

Final velocity of the particle

Conversion:

Please make sure to convert all the units to metres and seconds.

2km = 2000 m

Calculation:

v² = u² + 2as

=> v² = 0² + 2 × 10 × 2000

=> v² = 40000

=> v = √40000

=> v = 200 m/s

So final answer is 200 m/s.

Answer 2

Question :-

Given above ↑

Answer :-

→ Final velocity ( v) = 200 m/s

OR ,

→ v = 0.2 km/s

To find :-

→ final velocity

Formula used :-

v² = u² + 2 a s

→ v is the final velocity ,u is the initial velocity , a is the acceleration and s is covered distance .

\________________/

Explanation :-

Given that

• particle starts from rest [ initial velocity (u) = 0 ]
• acceleration ( a) = 10 m/s²
• final velocity ( v) = ?
• covered distance ( s) = 2 km

because acceleration given in m/s² hence change distance into Metre

• . • 1 km = 1000 m

. • . 2 km = 2000 m

now apply the given formula ,

→ v² ={ (0)² + 2 × 10 × 2000 } m/s

→ v² = 40000 m/s

→ v= √(40000)

→ v = 200 m/s

or v = 0.2 km/s

\________________/

hope this will help you .