In standstill water a steam boat is accelerated 3 m per square from position of rest in an interval of 8 sec determine the distanc

In standstill water a steam boat is accelerated 3 m per square from position of rest in an interval of 8 sec determine the distance travel by the boat within the interval

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  1. Given :-

    In standstill water a steam boat is accelerated 3 m per square from position of rest in an interval of 8 sec

    To Find :-

    Distance covered

    Solution :-

    We know that

    s = ut + 1/2 a t²

    s = (0)(8) + 1/2 × 3 × (8)²

    s = 0 + 1/2 × 3 × 64

    s = 3/2 × 64

    s = 3 × 32

    s = 96 m[tex]\\[/tex]

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  2. Given:

    • Acceleration ,a = 3m/s
    • Initial velocity ,u = 0m/s
    • Time taken ,t = 8s

    To Find:

    • Distance travel by the boat ,s

    Solution:

    We have to calculate the distance covered by the boat in given time interval. Using 2nd equation of motion

    • s = ut + 1/2at²

    where,

    • v is the final velocity
    • a is the acceleration
    • u is the initial velocity
    • t is the time taken
    • s is the distance covered

    Substitute the value we get

    [tex]:\implies[/tex] s = 0×8 + 1/2×3 × 8²

    [tex]:\implies[/tex] s = 0 + 1/2 × 3 × 64

    [tex]:\implies[/tex] s = 3/2 × 64

    [tex]:\implies[/tex] s = 3 × 32

    [tex]:\implies[/tex] s = 96 m

    • Hence, the distance covered by the steam boat is 96 metres.

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