Question

Initially the body is moving with 30 km per hour and after 10 Seconds it's velocity will be 60 kilometre per hour calculate acceleration​

Answer 1

Provided that:

• Initial velocity = 30 km/h
• Final velocity = 60 km/h
• Time = 10 seconds

To calculate:

• The acceleration

Solution:

• The acceleration = 0.833 m/s sq.

Using concepts:

• Acceleration formula
• Formula to convert kmph-mps

Using formula:

• ${\small{\underline{\boxed{\sf{a \: = \dfrac{v-u}{t}}}}}}$

Where, a denotes acceleration, v denotes final velocity, u denotes initial velocity and t denotes time taken

Required solution:

~ Firstly let us convert kmph-mps!

Converting 30 kmph-mps

$:\implies \sf 30 \times \dfrac{5}{18} \\ \\ :\implies \sf \dfrac{150}{18} \\ \\ :\implies \sf \cancel{\dfrac{150}{18}} \\ \\ :\implies \sf 8.33 \: mph \\ \\ {\pmb{\sf{Henceforth, \: converted!}}}$

Converting 60 kmph-mps

$:\implies \sf 60 \times \dfrac{5}{18} \\ \\ :\implies \sf \dfrac{300}{18} \\ \\ :\implies \sf \cancel{\dfrac{300}{18}} \\ \\ :\implies \sf 16.66 \: mph \\ \\ {\pmb{\sf{Henceforth, \: converted!}}}$

Therefore,

• Initial velocity = 8.33 m/s
• Final velocity = 16.66 m/s

~ Now let us calculate acceleration!

$:\implies \sf Acceleration \: = \dfrac{Change \: in \: velocity}{Time} \\ \\ :\implies \sf a \: = \dfrac{v-u}{t} \\ \\ :\implies \sf a \: = \dfrac{16.66-8.33}{10} \\ \\ :\implies \sf a \: = \dfrac{8.33}{10} \\ \\ :\implies \sf a \: = 0.833 ms^{-2} \\ \\ :\implies \sf Acceleration \: = 0.833 ms^{-2}$