A meteoroid changed velocity from 1. 0 km/s to 1. 8 km/s in 0. 03 seconds. What is the acceleration of the meteoroid?.

Respuesta :

  • Initial velocity=1km/s=u
  • Final velocity=1.8km/s=v
  • Time=t=0.03s

Acceleration be a

[tex]\\ \rm\Rrightarrow a=\dfrac{v-u}{t}[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{1.8-1}{0.03}[/tex]

[tex]\\ \rm\Rrightarrow a=0.8/0.03[/tex]

[tex]\\ \rm\Rrightarrow a=26.67km/s^2[/tex]

Question :-

  • A Meteoroid changed Velocity from 1.0 km/s to 1.8 km/s in 0.03 sec . What is the Acceleration of the Meteoroid ?

Answer :-

  • Acceleration of the Meteoroid is 26.72 km/s² .

[tex] \rule {180pt} {2pt} [/tex]

Given :-

  • Initial Velocity = 1 km/s
  • Final Velocity = 1.8 km/s
  • Time = 0.03 seconds

To Find :-

  • Acceleration = ?

Solution :-

As per the provided information in the given question, we have been given that the Initial Velocity of the Meteoroid is 1 km/s . Its Final Velocity is given 1.8 km/s . Time is given as 0.03 seconds . And, we have been asked to calculate the Acceleration of the Meteoroid .

For calculating the Acceleration , we will use the Formula :-

[tex] \bigstar \: \: \boxed{ \: \sf {Acceleration \: = \: \dfrac{ \: v - ᴜ \: }{ᴛ} \: }} \\ [/tex]

Where ,

  • v denotes to the Final Velocity
  • ᴜ denotes to the Initial Velocity
  • ᴛ denotes to the Time

Therefore , by Substituting the given values in the above Formula :-

[tex] \longmapsto \: \: \sf{Acceleration \: = \: \dfrac{ \: 1.8 \: - \: 1 \: }{0.03} } [/tex]

[tex] \longmapsto \: \: \sf{Acceleration \: = \: \dfrac { \: \: 0.8 \: \: }{ \: \: 0.03 \: \: } } \\ [/tex]

[tex] \longmapsto \: \: \sf{Acceleration \: = \: 26.72} \\ [/tex]

Hence :-

  • Acceleration = 26.72 km/s² .

[tex] \underline {\rule {180pt} {4pt}} [/tex]

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE