Question

While you are driving down a country road at dusk with a velocity of 22 m/s, a deer suddenly runs across the road in front of you. You apply the brakes, reducing your velocity to 7 m/s in 5 s as you avoid hitting the deer. What is the acceleration of the car?

Answer 1

`a=(v_(f)-v_(o)  )/(t_(f)-t_(o)  ) =((7-22)(m)/(s) )/(5s-0s) =-3(m)/(s^(2) )`

Step-by-step explanation:

We know that the initial velocity is 22 m/s

The final velocity after applying the brakes is 7 m/s, and the time that takes it to break is 5 seconds

We know that the concept of acceleration is the change of velocity in time

`a=(v_(f)-v_(o)  )/(t_(f)-t_(o)  ) =((7-22)(m)/(s) )/(5s-0s) =-3(m)/(s^(2) )`

The answer is negative since the car is slowing down