Numerical - Time & distance

Q.  In 5 seconds a body covers a distance of 50 m and in 10 seconds it covers 80 m with uniform acceleration. What is the distance traveled in 15 seconds?
- Published on 18 Sep 15

a. 100 m
b. 110 m
c. 1000 m
d. None of the above

ANSWER: 110 m

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    Discussion

  • Sravanthi   -Posted on 15 Dec 15
    Given: S1 = 50 m, S2 = 80 m, t1 = 5 sec, t2 = 10 sec

    Solution:

    Condition 1:

    1) S1 = u + a/2 (2t1 - 1)

    50 = u + a/2 (2 x 5 -1)

    50 = u + 4.5 a --------- (1)

    Condition 2:

    2) S2 = u + a/2 (2t2 - 1)

    80 = u + 9.5 a ---------- (2)

    Equating condition (1) and (2), we get

    u = 23 m/s and a = 6 m/s2

    The distance traveled in 15 seconds = S = 23 + 6/2 (2 x 15 - 1)

    = 110 m

    The distance traveled in 15 seconds = 110 m

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