A truck is moving forward at a constant speed of 21 m/s. The driver sees a stationary car directly ahead of a distance of 110 m. After a “reaction time” of Δt, he applies the brakes, which gives the truck a backward acceleration of 3 m/s2. What is the maximum allowable Δt to avoid a collision, and what distance will the truck have moved before he applies the brakes? Assuming a reaction time of 1.4 s, how far behind the car will the truck stop, and in how many seconds from the time the driver first saw the car?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
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A truck is moving forward at a constant speed of 21 m/s. The driver sees a stationary car directly ahead of a distance of 110 m. After a “reaction time” of Δt, he applies the brakes, which gives the truck a backward acceleration of 3 m/s2. What is the maximum allowable Δt to avoid a collision, and what distance will the truck have moved before he applies the brakes? Assuming a reaction time of 1.4 s, how far behind the car will the truck stop, and in how many seconds from the time the driver first saw the car?

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