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A body starts with initial velocity $u = 20\,\text{m s}^{-1}$ and moves with constant acceleration $a = 4\,\text{m s}^{-2}$ for $8\,\text{s}$. What distance does it cover?
A$128\,\text{m}$
B$160\,\text{m}$
C$208\,\text{m}$
D$288\,\text{m}$
Answer & Solution
Correct answer: D. $288\,\text{m}$
Use $s = ut + \tfrac{1}{2}at^2$. Substituting, $s = 20\times 8 + \tfrac{1}{2}\times 4\times 8^2 = 160 + 128 = 288\,\text{m}$. Therefore, option D is correct.