Question

You are driving at the speed of 27.7 m/s (61.9764 mph) when suddenly the car in front of you (previously traveling at the same speed) brakes and begins to slow down with the largest deceleration possible without skidding. Considering an average human reaction, you press your brakes 0.543 s later. You also brake and decelerate as rapidly as possible without skidding. Assume that the coefficient of static friction is 0.804 between both cars’ wheels and the road.

Answer 1

The question is based on Physics and involves calculating the deceleration and stopping distance of a car given certain frictional conditions to determine if a speeding ticket is warranted.

Step-by-step explanation:

The student's question involves calculating the deceleration and distance necessary to stop a car based on a given coefficient of friction and initial speed. This falls within the realm of Physics, more specifically kinematics, and involves physics concepts such as friction, deceleration, reaction time, and displacement.

To determine whether the student should fight the speeding ticket in court, it's necessary to calculate the initial velocity based on the skid marks and the known coefficient of friction. Using the formula v2 = u2 + 2as (where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the displacement), the initial speed can be found, and it can be seen if it exceeds the speed limit.

It's important to note that deceleration is the negative acceleration, and the coefficient of friction is used to determine the maximum deceleration without skidding. If the calculated initial speed is less than or equal to the speed limit, the student would have grounds to contest the ticket.

Answer 2

8.1242 m/s^2

Remaining part of the question:

The acceleration of gravity is 9.8 m/s2 . Calculate the acceleration of the car in front of you when it brakes?

Step-by-step explanation:

Frictional force allow as a car to stop from motion, but it is also part of the the force required by the the car to move forward, It help keeps the tires from sliding on the road. if you are to correctly calculate the motion of a body across a surface, you must take into account the interactions between the body and the surface.

ma=μmg

The acceleration of the car can be calculated as

a=μg=(0.829)(9.8)=8.1242 m/s^2