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Problem 10: On a one lane road, a person driving a car at vj = 78 mi/h suddenly notices a truck 0.65 mi in front of him. That truck is moving in the same direction at v2 = 41 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Ar. The smallest magnitude of 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. d.

Problem 10: On a one lane road, a person driving a car at vj = 78 mi/h suddenly notices a truck 0.65 mi in front of him. That truck is moving in the same direction at v2 = 41 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Ar. The smallest magnitude of 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. d.

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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Part (a) Enter an expression, in terms of defined quantities, for the distance, Ax,, traveled by the truck during the time interval At. Part (b) Enter an expression for the distance, Ax¡, traveled by the car in terms of v1, V2 and a. Part (c) Enter an expression for the acceleration of the car, a, in terms of vị, v2, and At. Part (d) Enter an expression for Ax¡ in terms of Ax, and d when the driver just barely avoids collision. Part (e) Enter an expression for Ax¡ in terms of vị, v2, and At. Part (f) Enter an expression for At in terms of d, v1, and v2. Part (g) Calculate the value of At in hours. Part (h) Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of d, v1, and v2. Part (i) Calculate the value of a in meters per second squared.
Transcribed Image Text:Part (a) Enter an expression, in terms of defined quantities, for the distance, Ax,, traveled by the truck during the time interval At. Part (b) Enter an expression for the distance, Ax¡, traveled by the car in terms of v1, V2 and a. Part (c) Enter an expression for the acceleration of the car, a, in terms of vị, v2, and At. Part (d) Enter an expression for Ax¡ in terms of Ax, and d when the driver just barely avoids collision. Part (e) Enter an expression for Ax¡ in terms of vị, v2, and At. Part (f) Enter an expression for At in terms of d, v1, and v2. Part (g) Calculate the value of At in hours. Part (h) Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of d, v1, and v2. Part (i) Calculate the value of a in meters per second squared.
Problem 10: On a one lane road, a person driving a car at vj = 78 mi/h suddenly notices a truck 0.65 mi in front of him. That truck is moving in the same direction at v2 = 41 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 magnitude of 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. d
Transcribed Image Text:Problem 10: On a one lane road, a person driving a car at vj = 78 mi/h suddenly notices a truck 0.65 mi in front of him. That truck is moving in the same direction at v2 = 41 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 magnitude of 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. d
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