Review Conceptual Example 6 as background for this problem. A car is traveling to the left, which is the negative direction. The direction of travel remains the same throughout this problem. The car's initial speed is 27.0 m/s, and during a 5.1 s interval, it changes to a final speed. In each case, find the acceleration (magnitudefand algebraic sign) and whether or not the car is decelerating. (a) The final speed is 31.9 m/s. 0.960 m/s? and the car is accelerating (b) The final speed is 25.0 m/s. -0.392 X m/s? and the car is decelerating Additional Materials O eBook

On a one lane road, a person driving a car at v1 = 58 mi/h suddenly notices a truck 1.1 mi in front of him. That truck is moving in the same direction at v2 = 35 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 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.  1. Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of d, v1, and v2.  a = ( v2 - v1 )/Δt   Δt = ( 2 ) ( d )/( v1 - v2 ) 2. Calculate the value of a in meters per second squared.

Problem 1. You are driving at 31.0 m/s when the truck ahead of you comes to a halt 200.0 m away from your bumper. Your brakes are in poor condition and you decelerate at a constant rate of 2.5 m/s. (a) How close do you come to the bumper of the truck? (b) How long does it take you to come to a stop? (c) Graph v versus t for the motion.

Assume you are driving a car at a constant speed of 76 km/h. Suddenly you see a deer standing on the highway and you must put on the brakes. Your reaction time (time elapsed between the moment you see the deer and your foot hitting the brakes) is 0.118 s. The brakes provide an acceleration with a magnitude of 4 m/s2, and a direction opposite the initial velocity.   How do you find the total distance traveled?