What is the distance covered by an object which accelerates from rest with a final velocity of 80 m/s if the time taken is 10 s?
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Answer :-
Distance covered by the object is 400 metres .
Explanation :-
We have :-
→ Initial velocity (u) = 0 m/s
→ Final velocity (v) = 80 m/s
→ Time taken (t) = 10 sec
To find :-
→ Distance covered (s) .
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Firstly, let's calculate acceleration (a) of the body by using the 1st equation of motion .
v = u + at
⇒ 80 = 0 + a (10)
⇒ 80 = 10a
⇒ a = 80/10
⇒ a = 8 m/s²
Now, we can calculate the distance covered by the object either by using the 2nd or 3rd equation of motion .
v² - u² = 2as
⇒ (80)² - 0 = 2(8)(s)
⇒ 6400 = 16s
⇒ s = 6400/16
⇒ s = 400 m
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