A body moves from rest with uniform acceleration and travels 250 m in 5 s. Find the velocity of the body at 10 s after the start.
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S O L U T I O N :
Displacement, (S) = 250 m
Time taken, (t) = 5 sec.
Initial velocity, (u) = 0
As we know that 2nd equation of motion;
A/q
→ 250 = 0 × 5 + 1/2 × a × (5)²
→ 250 = 0 + 1/2 × a × 25
→ 250 = 0 + 25a/2
→ 250 = 25a/2
→ 500 = 25a
→ a = 500/25
→ a = 20 m/sec²
Now,
We will use the 1st equation of motion a/c to the given time;
Time, (t) = 10 sec.
→ v = 0 + 20 × 10
→ v = 0 + 200
→ v = 200 m/sec.
Thus,
The final velocity of the body at 10 sec after start will be 200 m/sec.
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