Question

motion ka question hai​

Answer 1

Answer :

➥ The acceleration of a car = 1.11 m/s²

Given :

➤ Final velocity of a car (v) = 40 km/h

➤ Intial velocity of a car (u) = 60 kn/h

➤ Time taken by a car (t) = 5 sec

To Find :

➤Acceleration of a car (a) = ?

Solution :

◈ Final velocity (v) = 40 km = 40 × 5/18 = 11.11 m/s

◈ Intial velocity (u) = 60 km/h = 60 × 5/18 = 16.66 m/s

Acceleration of a car

Acceleration is given by

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

$\tt{:\implies a = \dfrac{16.66 - 11.11}{5} }$

$\tt{:\implies a = \cancel\dfrac{5.55}{5}}$

$\bf{:\implies \underline{\:\: \underline{\purple{\:\:a = 1.11 \: m/s^2\:\:}}\:\:}}$

Hence, the acceleration of a car is 1.11 m/s².

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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.

Answer 2

Given :

• Final velocity (v) = 40 km/h
• Initial velocity (u) = 60 km/h
• Time (t) = 5 seconds

To find :

• Acceleration of the car

According to the question,

We will convet km/h into m/s :

• Final velocity (v) :

$\rightarrow\sf{ \frac{40 \times 10 \cancel0 \cancel0}{6 \cancel0 \times 6 \cancel0} } = \frac{400}{36} = 11.11 \: ms {}^{ - 1} \orange \bigstar$

• Initial velocity (u)

$\rightarrow\sf{ \frac{ \cancel{60} \times 100 \cancel0}{ \cancel{60} \times 6 \cancel0} } = \frac{100}{6} = 16.66 \: ms {}^{ - 1} \orange \bigstar$

Now,we will use the formula

$\star \: \boxed{ \sf \red{a = \frac{v - u}{t} }}$

Now accordingto the formula we will put the values,

$\sf{ \: \: \: : \implies \: \frac{16.66 - 11.11}{5} }$

$\sf{ \: \: \: : \implies \cancel\frac{5.55}{5} {}^{ \: \: \: 1.11} }$

$\sf{ \: \: \: : \implies \:1.11 \: ms {}^{ - 2} } \orange \bigstar$

.°. The acceleration is 1.11 m/s^2...