You are traveling in a car that is moving at a velocity of 30 m/s. Suddenly, a car 15 meters in front of you slams on its brakes. At that moment, you also slam on your brakes and slow to 10 m/s. Calculate the acceleration if it took 3 seconds to slow your car down.

Respuesta :

Answer:

The acceleration of car is 6.67 m/s².

Explanation:

Given that,

Initial velocity = 30 m/s

Distance = 15 m

Final velocity = 10 m/s

Time = 3 sec

We need to calculate the acceleration

Using formula of acceleration

[tex]a=\dfrac{v_{f}-v_{i}}{t}[/tex]

[tex]a=\dfrac{10-30}{3}[/tex]

[tex]a=\dfrac{-20}{3}[/tex]

[tex]a=-6.67\ m/s^2[/tex]

Negative sign shows the car is slowing down.

Hence, The acceleration of car is 6.67 m/s².

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