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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 the 6th second.

Options:
A. 100 m
B. 200 m
C. 110 m
D. 210 m

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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.

This problem has been solved

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