How Does Constant Power Affect Car Acceleration Times?

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sauri
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This question; A car takes 3s to acclelerate from to 0 to 50 km/h. Assuming constant power output from the engines and ignoring air resistance, how long does it take to go from o to 100 Km/h?, has been bothering me. I orginally assumed I could use the basic kinamatic equations but the power output factor keeps throwing me off.

Using power P=W/t but how dO i associate W with the speeds?
 
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You don't. It's a simple acceleration problem. It accelerates at a constant rate.