Acceleration Question* * (Physics 11)

AI Thread Summary
To determine if the car hits the barrier, first calculate the distance covered during the driver's reaction time of 0.75 seconds at a constant speed of 90.0 km/h, which is approximately 18.75 meters. Subtract this distance from the initial 40.0 meters to find the remaining distance to the barrier, which is 21.25 meters. Next, use the equation of motion to find the stopping distance with the given acceleration of -10.0 m/s², ensuring that the total distance covered while braking does not exceed the remaining distance. For part b, to find the maximum speed that allows the car to stop before hitting the barrier, set the stopping distance equal to the remaining distance and solve for the initial speed. Understanding these calculations is crucial for solving similar physics problems effectively.
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Acceleration Question*URGENT* (Physics 11)

Okay well i have a test tomorrow and this is a question that was on my quiz, and i didnt know how to do this:

Homework Statement


1. A driver of a car going 90.0km/h suddenly sees a barrier 40.0m ahead. It takes the driver 0.75s before she applies the brakes, and the average acceleration during braking is -10.0m/s^2.
a. determine if the car hits the barrier (need to know how you got it, please tell me which equation and why :/ i know this involves 2 steps.)
b. what is the maximum speed at which the car could be moving and not hit the barrier 40.0m ahead? assume acceleration doesn't change.


Homework Equations





The Attempt at a Solution


I haven't a clue, need help >.<
 
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During the 0.75 seconds the driver is moving with a constant speed. Use the speed and time to calculate the distance covered in this time interval. The distance to the barrier is now reduced by this amount. That is

d_{remain} = 40.0 - d_{react}
 
and then, apply the equation of motion (s-u-v-a-t equations) to check what distance it takes to stop. (you know u, v, and a.)
Drawing a rough sketch always helps in Physics. Even in such a simple question.
 
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