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A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 ms-2 for 8.0 s. How far does the boat travel during this time?

Motion in One Dimension

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Answer

Given,

Initial velocity (u) = 0

Acceleration (a) = 3 ms-2

Time period (t) = 8 s

Distance travelled (S) = ?

According to the second equation of motion,

S = ut + 12\dfrac{1}{2}at2

Substituting we get,

S = 0 + 12\dfrac{1}{2} x 3 x 8 x 8

= 96 m

∴ The motorboat travels a distance of 96 m

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