an object moves with a velocity of 36 km per hour time duration of 5 minutes at comes at rest determine the distance travelled by the particle
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particles
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Given :-
- Initial velocity = 36 km/h= 10 m/s
- Time taken = 5 min = 300s
- It comes rest after 5 min
To find :-
- Distance travelled = ?
Solution :-
Here , from the given question final velocity of the particle will be 0 because the body comes to rest after 300s
Now , firstly acceleration using 1sy equation of motion
v = u + at
Where
- v : final velocity
- u : initial velocity
- t : time
- a : Acceleration
Substituting the known values we have
→ 0 = 10 + a(300)
→ - 10 = 300a
→ a = - 10/300
→ a = - 0.03 m/s²
Now , finding distance using third equation of motion
S = ut + 1/2 at²
Wher
- S : distance = ?
- u : initial velocity = 36 km/h = 10 m/s
- t : time take = 5 min = 300s
- a : acceleration = - 0.03 m/s²
→ S = 10(300) + 1/2 × (-0.03) × (300)²
→ S = 3000 + ( - 0.16 ) × 90000
→ S = 3000 - 1500
→ S = 1500 m
Hence , distance travelled = 1500 m = 1.5 km
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