Question

A particle moving with an initial velocity of 5m/s is subjected to a
uniform acceleration of 2.5m/s 2 . Find the displacement in the next 4 sec.?

Answer 1

$\sf\:<u>QUESTION</u>:-$

✓✓A particle moving with an initial velocity of 5m/s is subjected to a uniform accelaration of 2.5m/s2. find the displacement in the next 4 second.

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$\sf\:<u>GIVEN</u>:-$

$\sf\:\implies \text{Initial \: velocity(u) = 5 \: m/s }\\\\ \sf\:\implies \text{Acceleration(a) = 2.5 \: m }/{s}^{2} \\\\ \sf\:\implies \text{Time(t) = 4 \: sec}$

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$\sf\:<u>TO FIND</u>:-$

$\sf\: \implies\blue{Displacement= ?}$

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$\sf\: <u>EXPLANATION</u>:-$

$\bold\purple{By \:Third \: equation \: of \: motion} \\\\ \implies \sf\:s = ut + \dfrac{1}{2} a {t}^{2} \\\\ \implies \sf\:s = 5 \times 4 + \dfrac{1}{2} \times 2.5 \times {4}^{2} \\\\ \implies \sf\:s = 20 + \dfrac{1}{2} \times 2.5 \times 16 \\ \\ \implies \sf\:s = 20 + 20 \\\\ \red{\implies \sf\:s = 40 \: m}$