A body starts from rest and accelerates for 5m/s. Calculate the time taken by the body to cover a distance of 1km.
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32
Answer:
20 sec
Explanation:
Given that a body starts from rest and accelerates for 5m/s² and distance is 1 km.
We need to find out the time taken by the body.
As body starts from rest. So, initial velocity, (u) is 0 m/s.
Given Distance is 1 km
1 km = 1000 m
So, distance is 1000 m.
Now,. using second equation of motion:
s = ut + 1/2 at²
Substitute the known values in the above formula,
→ 1000 = (0)t + 1/2 × 5t²
→ 1000 = 0 + 1/2 × 5t²
→ 1000 = 5t²/2
→ 2000/5 = t²
→ 400 = t²
→ t = √400
→ t = 20
Hence, the time taken by the body is 20 seconds.
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