Car's Acceleration Into Gusting Wind

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SUMMARY

The discussion focuses on calculating the time required for a 2500 kg car traveling at 35 mph to reach a velocity of 50 mph while facing a headwind that initially gusts at 28 mph and then reduces to 16 mph. The problem assumes that the force applied to the accelerator remains constant throughout the acceleration process. Key equations related to force, acceleration, and velocity are necessary for solving this problem.

PREREQUISITES
  • Newton's Second Law of Motion
  • Basic kinematics (velocity and acceleration)
  • Understanding of forces acting on a vehicle
  • Knowledge of unit conversions (mph to m/s)
NEXT STEPS
  • Calculate the net force acting on the car considering wind resistance.
  • Determine the acceleration of the car using Newton's Second Law.
  • Use kinematic equations to find the time required to reach 50 mph.
  • Explore the impact of varying wind speeds on vehicle acceleration.
USEFUL FOR

Physics students, automotive engineers, and anyone interested in vehicle dynamics and acceleration under varying environmental conditions.

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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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