Question

A bus moving at a speed of 20m/s accelerates at a speed of 2m/s for 30 seconds.how far does it travel in this time

Answer 1

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

$\green{\tt{\therefore{Distance\:travel=1500\:m}}}$

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

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

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies s = ut + \frac{1}{2} {at}^{2} \\ \\ \tt: \implies s = 20 \times 30 + \frac{1}{2} \times 2 \times {30}^{2} \\ \\ \tt: \implies s =600 + 900 \\ \\ \green{\tt: \implies s =1500 \: m} \\ \\ \green{\tt \therefore Distance \: travel \: in \: time \: interval \: is \: 1500 \: m}\\\\ \blue{ \bold{Some \: related \: formula}} \\ \orange{ \tt \circ \: v = u + at} \\ \\ \orange{ \tt \circ \: {v}^{2} = {u}^{2} + 2as}$

Answer 2

Aɴꜱᴡᴇʀ

☞ Distance travelled by the body = 1500m

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Gɪᴠᴇɴ

✭ Initial velocity (u) = 20 m/s

✭ Acceleration (a) = 2m/s²

✭ Time(t) = 30 seconds

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Tᴏ ꜰɪɴᴅ

➤ The distance (s) travelled by the body?

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Sᴛᴇᴘꜱ

❍Here we use the second Equation of motion,that is,

$\underline{\boxed{\sf{s = ut+\dfrac{1}{2}a{t}^{2}}}}$

So now on substituting the given values,

➳ ${\sf{s = 20\times30+\dfrac{1}{2}\times2\times{30}^{2}}}$

➳ $\sf{s = 600 + 900}$

➳ $\sf{\pink{s = 1500 m} }$

________

Some related formulas:-

◕ v = u+at

◕ v²- u² = 2as

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