On a one lane road, a person driving a car at v = 78 mi/h suddenly notices a truck 0.65 mi in front of him. That truck is moving in the same direction at v, = 41 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v, 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 ofhe car is the positive direction. Refer to the figure.

University Physics Volume 1
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Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 82AP: A race car entering the curved part of the track at the Daytona 500 drops its speed from 85.0 m/s to...
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Please answer all the parts
5 Part (b) Enter an expression for the distance, Ax1, traveled by the car in terms of vị, v2 and a.
5 Part (c) Enter an expression for the acceleration of the car, a, in terms of v1, v2, and At.
O Part (d) Enter an expression for Ax¡ in terms of Ar2 and d when the driver just barely avoids collision.
Part (e) Enter an expression for Ax¡ in terms of v1, 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, vj, and v2.
Part (i) Calculate the value of a in meters per second squared.
Transcribed Image Text:5 Part (b) Enter an expression for the distance, Ax1, traveled by the car in terms of vị, v2 and a. 5 Part (c) Enter an expression for the acceleration of the car, a, in terms of v1, v2, and At. O Part (d) Enter an expression for Ax¡ in terms of Ar2 and d when the driver just barely avoids collision. Part (e) Enter an expression for Ax¡ in terms of v1, 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, vj, and v2. Part (i) Calculate the value of a in meters per second squared.
On a one lane road, a person driving a car at v = 78 mi/h suddenly notices a
truck 0.65 mi in front of him. That truck is moving in the same direction at v, = 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 ofhe car is the positive direction. Refer to the figure.
Transcribed Image Text:On a one lane road, a person driving a car at v = 78 mi/h suddenly notices a truck 0.65 mi in front of him. That truck is moving in the same direction at v, = 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 ofhe car is the positive direction. Refer to the figure.
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