Show that the equation for the stopping distance of a car is , where v0 is the initial

Chapter 2, Problem 29P

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QUESTION:

(III) Show that the equation for the stopping distance of a car is , where  is the initial speed of the car,  is the driver's reaction time, and  is the constant acceleration (and is negative).

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QUESTION:

(III) Show that the equation for the stopping distance of a car is , where  is the initial speed of the car,  is the driver's reaction time, and  is the constant acceleration (and is negative).

ANSWER:

Solution 29P

Step 1 of 2

We have to show that the equation for the stopping distance of a car is

The stopping distance of a car can be found by using the kinematic equation for constant acceleration.

where,

final velocity = 0 m/s

initial velocity in m/s

= stopping distance in m

distance travelled by the car before

       the brakes are applied in m

constant acceleration in m/s2

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