A body starting from rest has an acceleration of 20 m/s2. Calculate the distance travelled by it in 6th second.A 100 m B 200 m C 110 m D 210 m
Question
A body starting from rest has an acceleration of 20 m/s2. Calculate the distance travelled by it in 6th second.A 100 m B 200 m C 110 m D 210 m
Solution
To solve this problem, we can use the formula for the distance traveled by an object under constant acceleration in a specific second, which is given by:
s = u + a/2(2n-1)
where:
- s is the distance traveled in the nth second,
- u is the initial velocity of the object,
- a is the acceleration of the object, and
- n is the specific second.
Given in the problem, the body starts from rest (u = 0) and has an acceleration of 20 m/s² (a = 20 m/s²). We are asked to find the distance traveled in the 6th second (n = 6).
Substituting these values into the formula, we get:
s = 0 + 20/2(26 - 1) s = 10(12 - 1) s = 10*11 s = 110 m
So, the body travels 110 m in the 6th second. Therefore, the correct answer is C: 110 m.
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