Question

Q1. A car is moving at a speed of 55 km per hour. 30 second later, it is moving at 90 km per hour.
What is its acceleration?​

Answer 1

Answer:

u = 55 km/hr

v=90km/hr

t=30sec=30/60=1/2

a= v-u/t

a=35×2/1

a=70 km/hr

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Answer 2

Answer :

➥ The acceleration of a car = 0.32 m/s²

Given :

➤ Intial velocity of a car (u) = 55 km/h

➤ Final velocity of a car (v) = 90 km/h

To Find :

➤ Acceleration of a car (a) = ?

Solution :

◈ Intial velocity (u) = 55 km/h = 55 × 5/18 = 15.27 m/s

◈ Final velocity (v) = 90 km/h = 90 × 5/18 = 25 m/s

Acceleration of a car

Acceleration is given by

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

$\tt{:\implies a = \dfrac{25 - 15.27}{30} }$

$\tt{: \implies a = \cancel{\dfrac{9.73}{30} }}$

$\bf{: \implies\underline{ \: \: \underline{ \purple{ \: \: a = 032 \: m/s^2 \: \: }} \: \: }}$

Hence, the acceleration of a car is 0.32 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 Instantaneous acceleration ?

➜ The ratio of change in velocity during a given time interval such that the time interval goes to zero.

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.