If a car is traveling 100 km/h and comes to a stop in 3 minutes,what is acceleration of a passenger who is using vehicle restraint?

Respuesta :

We are given

  • Final velocity of car is, v= 0
  • Initial velocity of car is, u= 100 km/hr
  • Time taken, t is = 3 minutes or 180 sec

Here

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Initial\: velocity = 100 \:km/hr}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Initial\: velocity = \dfrac{ 100 \times 1000}{3600} \:m/s[/tex]

[tex]\qquad[/tex][tex]\pink{ \bf \longrightarrow Initial\: velocity = 27.78\: m/s} [/tex]

Now –

[tex]\qquad[/tex]____________________________

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Acceleration = \dfrac{Final\: Velocity -Initial \:Velocity }{Time}}[/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Acceleration = \dfrac{v -u}{t}}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Acceleration = \dfrac{(0- 27.78)}{1800}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Acceleration =\cancel{ \dfrac{- 27.78}{1800}}[/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Acceleration = -0.015 \: m/s^2} [/tex]

[tex]\qquad[/tex]_______________________________