Please label and box answers. On a one lane road, a person driving a car at v₁ = 79 mi/h suddenly notices atruck a distance d = 14 m in front of him. That truck is moving in the same direction at a constantvelocity of v₂ = 32 mi/h. In order to avoid a collision, the person in the car has to reduce theirspeed to v2 in a time interval At. By slamming on their brakes, the driver can give the car amaximum negative acceleration of ar. Assume the acceleration is constant and that the direction ofmotion of the car is the nositive direction, so the acceleration ax < 0. Refer to the figure.d010-0Part (a) Assuming the driver just barely avoids a collision, what is the final distance, in meters, between the car and the truck?Part (b) Enter an expression for the distance Ax2 traveled by the truck in the time At, in terms of the quantities defined in the problem statement.Part (c) Find an expression for the distance Ax₁ traveled by the car in the time At, assuming the driver brakes as hard as they can.Part (d) Relate the total distance the car travels Ax₁ to the distance the truck travels and the initial distance between them.Part (e) Find the acceleration of the car in terms of its initial velocity,v₁, its final velocity, v2, and the time interval At.Part (f) Use your results from (b) through (e) to find a symbolic expression for the time At in terms of v₁, v2 and d.Part (g) Calculate the numerical value of At in seconds.Part (h) Using your result from (f), find a symbolic expression for the acceleration at.Part (i) Calculate the numerical value of ag, in meters per second squared.

Name: Please label and box answers. On a one lane road, a person driving a c
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: Please label and box answers. On a one lane road, a person driving a car at v₁ = 79 mi/h suddenly notices atruck a distance d = 14 m in front of him. That truck is moving in the same direction at a constantvelocity of v₂ = 32 mi/h. In order to avoid