Question

A bus increases its velocity from 36km/hr to 54km/hr in 5 seconds.Calculate the acceleration​

Answer 1

Given :

• Initial velocity of the bus = 36 km/hr

• Final velocity of the bus = 54 km/hr

• Time = 5 sec

To Find :

• Acceleration of the bus

Solution :

The relation between km/hr and m/s is ,

$\boxed{ \rm{km. {hr}^{ - 1} = 0.278 \: m {s}^{ - 1} }}$

Now ,

Initial velocity = 36 km/hr = 36 × 0.278 = 10 m/s

Final velocity = 54 km/hr = 54 × 0.278 = 15 m/s

The relation between acceleration , Initial velocity , Final velocity and time is given by ,

$\dag \boxed {\rm{a = \frac{v - u}{t} }}$

Where ,

• v is final velocity
• u is initial velocity
• t is time

We have ,

• v = 54 km/hr =15m/s
• u = 36 km/hr = 10 m/s
• t = 5 s

$: \implies \rm \: a = \frac{15 \: m {s}^{ - 1} - 10 \: ms {}^{ - 1} }{5 \: s} \\ \\ : \implies \rm \: a = \frac{5 \: m {s}^{ - 1} }{5 \: s} \\ \\ : \implies \rm \: a = 1 \: m {s}^{ - 2} \: \bigstar$

∴ The Acceleration of the bus when the velocity changes from 36 km/hr to 54 km/hr in 5 sec is 1 m/s²

Answer 2

Answer:

Given :

Initial velocity of the bus = 36 km/hr

Final velocity of the bus = 54 km/hr

Time = 5 sec

To Find :

Acceleration of the bus

Solution :

The relation between km/hr and m/s is ,

\boxed{ \rm{km. {hr}^{ - 1} = 0.278 \: m {s}^{ - 1} }}

km.hr

−1

=0.278ms

−1

Now ,

Initial velocity = 36 km/hr = 36 × 0.278 = 10 m/s

Final velocity = 54 km/hr = 54 × 0.278 = 15 m/s

The relation between acceleration , Initial velocity , Final velocity and time is given by ,

\dag \boxed {\rm{a = \frac{v - u}{t} }}†

a=

t

v−u

Where ,

v is final velocity

u is initial velocity

t is time

We have ,

v = 54 km/hr =15m/s

u = 36 km/hr = 10 m/s

t = 5 s

\begin{gathered} : \implies \rm \: a = \frac{15 \: m {s}^{ - 1} - 10 \: ms {}^{ - 1} }{5 \: s} \\ \\ : \implies \rm \: a = \frac{5 \: m {s}^{ - 1} }{5 \: s} \\ \\ : \implies \rm \: a = 1 \: m {s}^{ - 2} \: \bigstar\end{gathered}

:⟹a=

5s

15ms

−1

−10ms

−1

:⟹a=

5s

5ms

−1

:⟹a=1ms

−2

★

∴ The Acceleration of the bus when the velocity changes from 36 km/hr to 54 km/hr in 5 sec is 1 m/s²