Kinematics - Can the car avoid the moose

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    Car Kinematics
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SUMMARY

The discussion focuses on a kinematics problem involving a car traveling at 80 km/h (22 m/s) and its ability to stop before hitting a moose located 50.0 m ahead. The reaction time is given as 0.40 seconds, and the car decelerates at -6.4 m/s². To determine if the car can stop in time, participants suggest calculating the distance traveled during the reaction time and the stopping distance using the equations of motion. If the car decelerates at 4.8 m/s² due to wet conditions, the stopping distance will increase, potentially resulting in a collision.

PREREQUISITES
  • Understanding of kinematics equations, specifically d = ½( vo + vf) t and d = vo t + ½ at².
  • Knowledge of initial velocity (vi) and final velocity (vf) concepts.
  • Familiarity with the concepts of reaction time and deceleration.
  • Ability to perform calculations involving distance, time, and acceleration.
NEXT STEPS
  • Calculate stopping distance using the equation d = vo² / (2a) for both deceleration rates.
  • Analyze the impact of varying reaction times on stopping distance.
  • Explore the effects of different road conditions on vehicle deceleration rates.
  • Study real-world applications of kinematics in emergency braking scenarios.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the practical applications of kinematics in driving safety and vehicle dynamics.

k790
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Homework Statement



You are driving along the road at 80 km/h (22m/s) when you see a moose 50.0 m in front of your car. Your reaction time is 0.40 s, and when you finally hit the brakes your car decelerates at a rate of -6.4 m/s2.

a) Will your car stop in time to avoid the moose?

b) If the road is wet and your car decelerates at a rate of 4.8 m/s2, what will happen?

Homework Equations



d = ½( vo + vf) t
at = vf– vo
d = volt + ½ at2
vo2= vf2 + 2ad

The Attempt at a Solution



Ive tried using the equations, I know vi= 22m/s then vo=Om/s but I think I am making some sort of mistake, can someone push me in the right direction?
 
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You need to calculate how far you will travel during your reaction time, using your distance function. Then calculate how long it will take to stop using your velocity function. Take that time and plug it into your distance function and add the reaction time distance to the stopping distance and see if it's greater than 50 meters.
 

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