an athlete running in a straight track covers a distance of 10m in 3rd second and 14m in 5th second. Find out the distance covered by him in 9th second
Answer (1)
9th May, 2020
Distance covered in nth second is given by:
S= u + (2n-1) (a/2) , where the letters have their usual meanings
Given: athlete runs 10 m in 3rd second, using this information we get,
10=u + 5(a/2)............eq.1
Then using the next information, I.e athlete runs 14 m in 5th second we have,
14= u + 9(a/2)........eq.2
Solving 1 and 2 we get:
a=2 m/s^2
u=5 m/s
Finally, distance covered in 9th second is:
5 + (2/2)(2*9-1)=22m
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