Question

A bus decreases its speed from 90 km / hour to 60km/hour in 4 second . find it's acceleration ​

Answer 1

Answer :

➥ The acceleration of a bus = 2.08 m/s²

Given :

➤ Intial velocity of a bus (u) = 90 km/hr

➤ Final velocity of a bus (v) = 60 km/hr

➤ Time taken by a bus (t) = 4 sec

To Find :

➤ Acceleration of a bus (a) = ?

Solution :

To find the acceleration of a bus, first we convert Intial velocity and final velocity km/hr to m/s, then after we find the acceleration of a bus.

◈ Intial velocity (u) = 90 × 5/18 = 25 m/s

◈ Final velocity (v) = 60 × 5/18 = 16.66 m/s

Acceleration of a bus

Acceleration is given by

$\tt{:\implies a = \dfrac{v - u}{t}}$

$\tt{:\implies a = \dfrac{25 - 16.66}{4}}$

$\tt{:\implies a = \cancel{\dfrac{8.34}{4}}}$

$\bf{:\implies \underline{ \: \: \underline{ \purple{ \: \: a = 2.08 \: m/s^2 \: \: }} \: \: }}$

Hence, the acceleration of a bus is 2.08 m/s².

⠀⠀

Additional Information :

What is acceleration ?

➜ Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity.

What is the formula of acceleration ?

➜ $\sf{a = \dfrac{v - u}{t}}$

➜ $\sf{\dfrac{Change\: in\: velocity }{time}}$

➜ $\sf{a = \dfrac{v_{f} - u_{i}}{t}}$

Where,

• a is the acceleration.
• v is final velocity.
• u is intial velocity.
• t is time taken.
• $\sf v_{f}$ is final velocity.
• $\sf u_{i}$ is intial velocity.

What is the SI unit of acceleration ?

➜ The SI unit of acceleration is m/s².

━━━━━━━━━━━━━━━━━━━━━

Answer 2

the acceleration of the bus is2.08m/sper square