The maximum reaction time for a driver to avoid hitting an obstacle 95 meters away while traveling at 25 m/s with a braking acceleration of -3.75 m/s² can be calculated by first determining the stopping distance during deceleration. The stopping distance can be calculated using the equation D = (vi² - vf²) / (2a), where vi is the initial velocity (25 m/s) and vf is the final velocity (0 m/s). After calculating the stopping distance, the remaining distance can be used to find the time available for the driver to react, leading to a definitive maximum reaction time.
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In your attempt you've assumed that the braking begins immediately when there are still 95 m to the obstacle. This won't be the case. During the time it takes for the driver to react the vehicle continues to travel at its initial speed. Only after the driver reacts does the braking begin.rrosa522 said:Homework Statement
a vehicle is traveling at 25m/s. its breaks provide an acceleration of -3.75m/s^2. What is the drivers maximum reaction time is she is to avoid hitting an obstacle 95.0m away?
Homework Equations
D=vi(t) +1/2a(t)^2
The Attempt at a Solution
D=95m
vi=25 m/s
a=-3.75m/s ^2
I plugged it into the equation D=vi(t) +1/2a(t)^2 and i got -2.02, which is obviously wrong