Question

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?

Answer 1

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–

$\qquad$$\pink{\bf \longrightarrow Initial\: velocity = 100 \:km/hr}$

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

$\qquad$$\pink{ \bf \longrightarrow Initial\: velocity = 27.78\: m/s}$

Now –

$\qquad$____________________________

$\qquad$$\purple{\bf \longrightarrow Acceleration = \dfrac{Final\: Velocity -Initial \:Velocity }{Time}}$

$\qquad$$\purple{\bf \longrightarrow Acceleration = \dfrac{v -u}{t}}$

$\qquad$$\sf \longrightarrow Acceleration = \dfrac{(0- 27.78)}{1800}$

$\qquad$$\sf \longrightarrow Acceleration =\cancel{ \dfrac{- 27.78}{1800}}$

$\qquad$$\purple{\bf \longrightarrow Acceleration = -0.15 \: m/s^2}$

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