Question

A car is travelling at 20 km/h, it speeds upto 60 km/h in 6 seconds. What
is its acceleration?​

Answer 1

⇝ Given :-

• A car is travelling at 20 km/h.

• It speeds upto 60 km/h in 6 seconds.

⇝ To Find :-

• The Acceleration of the Car.

⇝ Solution :-

❒ Converting Velocities in m/s ;

$\rm Initial \: Velocity = 20 \: km/h$

$= \rm\bigg(20 \times \frac{5}{18} \bigg)m/s$

$= \rm \bigg(\frac{100}{18} \bigg)m/s$

$:\longmapsto \red{ \rm Initial \: Velocity = 5.56 \: m/s }$

$\rm Final \: Velocity = 60 \: km/h$

$= \rm\bigg(60 \times \frac{5}{18} \bigg)m/s$

$= \rm \bigg(\frac{300}{18} \bigg)m/s$

$:\longmapsto \red{ \rm Final \: Velocity = 16.67 \: m/s }$

❒ Calculating Acceleration :-

We Have ,

• Initial Velocity = u = 5.56 m/s

• Final Velocity = v = 16.67 m/s

• Time Taken = t = 6 s.

Let Acceleration of car be = a m/s².

★ We Have 1st Equation of Motion as :

$\large \bf \red\bigstar \: \: \orange{ \underbrace{ \underline{ v = u + at }}}$

⏩ Putting Given Values :

$:\longmapsto \rm 16.67 = 5.56 + a \times 6$

$:\longmapsto \rm 6a = 16.67 - 5.56$

$:\longmapsto \rm 6a = 11.11$

$:\longmapsto \rm a = \frac{11.11}{6}$

$\purple{ \large :\longmapsto  \underline {\boxed{{\bf a = 1.85 \: m/ {s}^{2} } }}}$

Hence,

$\Large\underline{\pink{\underline{\frak{\pmb{\text Acceleration = 1.85 \: m/ {s}^{2} }}}}}$

Answer 2

Answer:

Given :-

• A car is travelling at 20km/h , it speed upto 60km/h in 60seconds.

□To find :-

• What is its acceleration.

□Solution :-

• Here one thing we should know that,
• If we should enter to your question we should convert the initial and final velocities in m/s.

1. Initial velocity: -

• Initial velocity = 20 km/h
• $(20 \times \frac{5}{18} ) = ( \frac{100}{18} ) = 5.56 \: m \: per \: sec$

2)Final velocity :-

• Final velocity =60 km/h
• $(60 \times \frac{5}{18} ) = \frac{300}{18} = 16.67 \: m \: per \: sec$

□Now, lets enter to question,

• Here we should calculate acceleration,

1. Here we should use the formula is equations motion to get the answer.

• $v = u + at$
• Now applying the values we get that,

• $16.67 = 5.56 + a \times 6$
• $6a = 16.67 - 5.56$
• $6a = 11.11$
• $a = \frac{11.11}{6} = 1.85 {m \: per \: sec}^{2}$

□Therefore,

• Acceleration =1.85 m/s^2.

For more information :-

• https://brainly.in/question/20728697
• https://brainly.in/question/10462351
• search on web.

□Hope it helps u mate .

□Thank you .