How Do I Find the Acceleration at the Intersection?

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SUMMARY

The discussion focuses on calculating the acceleration of a vehicle approaching an intersection while considering reaction time and braking distance. The scenario involves a car traveling at 19 m/s, 140 m from a red light, with a reaction time of 0.77 seconds. The user initially calculated a distance of 130 m during deceleration but questioned the validity of this calculation. The correct approach involves using the kinematic equations, specifically the "big 5," to derive acceleration and time based on the known variables.

PREREQUISITES
  • Understanding of kinematic equations, specifically the "big 5" equations of motion.
  • Basic knowledge of physics concepts such as acceleration, velocity, and distance.
  • Familiarity with the concept of reaction time in driving scenarios.
  • Ability to manipulate algebraic equations to solve for unknowns.
NEXT STEPS
  • Review the "big 5" kinematic equations for motion under constant acceleration.
  • Practice problems involving reaction time and braking distance calculations.
  • Explore the impact of varying initial speeds on stopping distances.
  • Learn about the physics of vehicle dynamics and braking systems.
USEFUL FOR

This discussion is beneficial for physics students, driving instructors, and anyone interested in understanding vehicle dynamics and braking calculations in real-world scenarios.

Raimuna
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I really don't know how to find the acceleration at the intersection.
You are driving to the grocery store at 19 m/s. You are 140 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.77 s and that your car brakes with constant acceleration.
I have found that d1=130m
I tried to find the acceleration and I got 25, but it's wrong.
Could someone help me with this problem?
 
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you say d1 = 130m Is d1 supposed to be the total distance during the deacceleration(i.e. the initial distance subtracted by how much your car travels during your reaction time)?

if so, how does 140 - 19 * .77 = 130?

As for solving a, use the "big 5"

1/2 a t^2 = d

v=a*t +v(initial)

the above equation can be used to solve a & t. two equations, two unknowns. notice, in the second equation v is zero when your car is completely stopped, the point in time we're interested in.
 

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