A car is traveling 27 m/s when the driver sees a child standing in the road. He takes 0.8 s to react, then steps on the brakes and slows at 8.0 m/s2. How far does the car go before it stops?

please help!!

Since he's going 27 m/s, and he takes 0.8 s to react, then he goes (27)(0.8) = 21.6 m before he even steps on the break. Then, once he steps on the break, he deceleration is -8.0 m/s^2.

distance = (velocity final)^2 = (velocity initial)^2 + 2ad.

So, velocity final is 0.
So, (velicocity initial)^2 = -2as

(27)^2 = -2(-8.0)d

d = 45.6 m This is the distance after he put on brake.

Total distance = 45.6 + 21.6 m

thank you so much. that answer is right. thank you!!

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You're welcome! I'm glad I could help. Just remember, the only time it's okay to run over children is in a video game. Stay safe on the roads!

You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.

You're welcome! I'm glad I could help you with your question. If you have any more questions, feel free to ask!