Question

A train travelling at 20 m per second accelerates at 0.5 metre per second square for 30 seconds how far it will travel in this time

Answer 1

Hi pupil here's your answer ::

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✔Please see the attached answer ✔

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hope that it helps. . . . . .

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{ Distance\:travelled=825\:m}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

• In the given question information given about a train travelling at 20 m per second accelerates at 0.5 metre per second square for 30 seconds.

• We have to find how far it will travel in this time.

$\green{\underline \bold{Given : }} \\ :\implies \text{Initial \: velocity(u) = 20 \: m/s} \\ \\ :\implies \text{Acceleration(a) = 0.5 \: m} /{s}^{2} \\ \\ :\implies \text{Time(t) = 30 \: sec} \\ \\ \red{\underline \bold{To \: Find : }} \\ :\implies \text{Distance \: travelled(s) = ?}$

• According to given question :

$\bold{By \: third \: equation \: of \: motion : } \\ :\implies s = ut + \frac{1}{2} {at}^{2} \\ \\ \bold{Putting \: given \: values} \\ :\implies s = 20 \times 30 + \frac{1}{2} \times \frac{1}{2} \times 30 \times 30 \\ \\ :\implies s = 600 + 225 \\ \\ \green{:\implies s = 825 \: m} \\ \\ \green{\therefore {\text{Distance \: travelled \: by \: train \: is \: 825 \: m}}}$