Car's Acceleration Into Gusting Wind

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The discussion revolves around calculating the time it takes for a 2500kg car, initially traveling at 35mph into a headwind gust of 28mph, to reach a velocity of 50mph as the wind gust decreases to 16mph. Participants are prompted to consider the forces acting on the car, including the constant force from the accelerator and the changing wind resistance. The conversation encourages problem-solving strategies and the application of relevant physics equations. The focus is on understanding the dynamics of acceleration in varying wind conditions. Overall, the thread seeks to clarify the approach to solving this physics problem.
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Homework Statement


A 2500kg car is traveling 35mph into a head wind gust of 28mph. The wind gust lessens to 16mph. How many seconds will it take for the car to reach velocity of 50mph assuming the force applied to the accelerator throughout remains unchanged?

Homework Equations


The Attempt at a Solution

 
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