Question

A bus at rest accelerates uniformly to velocity of 54 km/h in 20s. How much distance is covered in 20 s

Answer 1

$\bf\huge\underline{\underline{ Given :- }}$

• Initial velocity , u = 0

• final velocity , v = 54 km/h

• time , t = 20 s

$\bf\huge\underline{\underline{ To \: Find:- }}$

• distance travelled in 20 s

$\bf\huge\underline{\underline{ Answer :- }}$

• u = 0

• v = 54 km/h = 15 m/s

• t = 20 s

• $\boxed{\bf\red{a = \frac{v - u}{t} }}$

• $\bf \: a = \frac{15 - 0}{20}$
• $\red{ \implies} \bf \: a = \frac{15}{20}$
• $\red{ \implies} \bf \:a = \frac{3}{4} \: m {s}^{ - 1}$

$\rule{10cm}{0.05cm}$

• $\boxed{\sf\red{v² = u² + 2as }}$

• $\red{ \implies} \bf \:15 {}^{2} = 0 {}^{2} + 2 \times \frac{3}{4} \times s$
• $\red{ \implies} \bf \:225 = \frac{3s}{8}$
• $\red{ \implies} \bf \:s = 600 \: m$