A car travels with the velocity 10m/s and accelerates 5 m/s 2 .calculate the final velocity when it has travelled 30m.
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2as=v^2-u^2
2×5×30=v^2-10^2
300 = v^2-100
300+100=v^2
400=v^2
v=√400
v=20
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Given :
- Initial Velocity = 10 m/s
- Acceleration = 5 m/s²
- Distance travelled = 30 m
To Find :
- Final Velocity = ?
Solution :
★ By using third equation of motion we get :
- v² = u² + 2as
where,
- v is Final Velocity
- u is Initial Velocity
- a is acceleration
- s is distance travelled
★ Now,plug in the given values in above equation of motion :
→ v² = (10)² + 2 × 5 × 30
→ v² = 100 + 10 × 30
→ v² = 100 + 300
→ v² = 400
→ v = √400
→ v = 20 m/s
- Hence,the final velocity of the car is 20 m/s.
★ Three equations of motion :
- v = u + at
- s = ut + ½ at²
- v² = u² + 2as
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