On a one lane road, a person driving a car at v1 = 76 mi/h suddenly notices a truck d = 1.9 mi in front of him. That truck is moving in the same direction at v2 = 45 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. 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. a)Enter an expression, in terms of defined quantities, for the distance, Δx2, traveled by the truck during the time interval Δt.  b)Enter an expression for the distance, Δx1, traveled by the car in terms of v1, v2 and a.  c)Enter an expression for the acceleration of the car, a, in terms of v1, v2, and Δt.  d)Enter an expression for Δx1 in terms of Δx2 and d when the driver just barely avoids collision.  e)Enter an expression for Δx1 in terms of v1, v2, and Δt.  f)Enter an expression for Δt in terms of d, v1, and v2.  g) Calculate the value of Δt in hours.  h)Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of d, v1, and v2.  i)

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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 On a one lane road, a person driving a car at v1 = 76 mi/h suddenly notices a truck d = 1.9 mi in front of him. That truck is moving in the same direction at v2 = 45 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. 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.

a)Enter an expression, in terms of defined quantities, for the distance, Δx2, traveled by the truck during the time interval Δt

b)Enter an expression for the distance, Δx1, traveled by the car in terms of v1v2 and a

c)Enter an expression for the acceleration of the car, a, in terms of v1v2, and Δt

d)Enter an expression for Δx1 in terms of Δx2 and d when the driver just barely avoids collision. 

e)Enter an expression for Δx1 in terms of v1v2, and Δt

f)Enter an expression for Δt in terms of dv1, and v2

g) Calculate the value of Δt in hours. 

h)Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of dv1, and v2

i) 

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