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-) Problem 9: On a one lane road, a person driving a car at v₁ = 55 mi/h suddenly notices a truck d = 1.3 mi in front of him. That truck is moving in the e direction at v2 = 37 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v₂ during time interval At. The smallest eleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. Refer to the are below. VI 000 V2 00

-) Problem 9: On a one lane road, a person driving a car at v₁ = 55 mi/h suddenly notices a truck d = 1.3 mi in front of him. That truck is moving in the e direction at v2 = 37 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v₂ during time interval At. The smallest eleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. Refer to the are below. VI 000 V2 00

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Enter an expression for the distance, X one traveled by the car in terms of V1 V2 and a 

 

Enter an expression for X1 in terms of X and d when the driver just barely avoid collision

calculate the value of a in meters per second squared

**Problem 9:** On a one-lane road, a person driving a car at \( v_1 = 55 \, \text{mi/h} \) suddenly notices a truck \( d = 1.3 \, \text{mi} \) in front of him. The truck is moving in the same direction at \( v_2 = 37 \, \text{mi/h} \). To avoid a collision, the person must reduce the speed of their car to \( v_2 \) during a time interval \(\Delta t\). The smallest acceleration required for the car to avoid a collision is \( a \). During this problem, assume the direction of motion of the car is the positive direction. Refer to the figure below. **Diagram Explanation:** The diagram depicts a car and a truck on a road. The car, initially at \( v_1 \), is shown to the left of the truck with an initial speed of 55 mi/h. The distance \( d \), which is 1.3 miles, is marked between the car and the truck. The truck is moving at a speed of \( v_2 = 37 \, \text{mi/h} \) in the same direction as the car. All objects in the diagram are directed to the right, indicating forward motion, with corresponding velocity vectors \( v_1 \) and \( v_2 \).
Transcribed Image Text:**Problem 9:** On a one-lane road, a person driving a car at \( v_1 = 55 \, \text{mi/h} \) suddenly notices a truck \( d = 1.3 \, \text{mi} \) in front of him. The truck is moving in the same direction at \( v_2 = 37 \, \text{mi/h} \). To avoid a collision, the person must reduce the speed of their car to \( v_2 \) during a time interval \(\Delta t\). The smallest acceleration required for the car to avoid a collision is \( a \). During this problem, assume the direction of motion of the car is the positive direction. Refer to the figure below. **Diagram Explanation:** The diagram depicts a car and a truck on a road. The car, initially at \( v_1 \), is shown to the left of the truck with an initial speed of 55 mi/h. The distance \( d \), which is 1.3 miles, is marked between the car and the truck. The truck is moving at a speed of \( v_2 = 37 \, \text{mi/h} \) in the same direction as the car. All objects in the diagram are directed to the right, indicating forward motion, with corresponding velocity vectors \( v_1 \) and \( v_2 \).
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