A car is traveling at 58.2 km/h on a flat highway.

The acceleration of gravity is 9.8 m/s2 .
If the coefficient of friction between the road and the tires on a rainy day is 0.155, what is the minimum distance in which the car will stop?

To find the minimum distance in which the car will stop, we need to calculate the deceleration of the car due to friction.

First, we need to convert the velocity of the car from km/h to m/s.
1 km/h = 1000 m/3600 s = 0.2778 m/s

So, the velocity of the car is 58.2 km/h * 0.2778 m/s = 16.17 m/s

Now, we can calculate the deceleration due to friction using the equation:
Deceleration = coefficient of friction * acceleration due to gravity
Deceleration = 0.155 * 9.8 m/s^2
Deceleration = 1.519 m/s^2

Next, we can use the formula of motion to calculate the minimum stopping distance:
Distance = (Velocity^2) / (2 * Deceleration)
Distance = (16.17 m/s)^2 / (2 * 1.519 m/s^2)
Distance = 261.9171 m

Therefore, the minimum distance in which the car will stop is approximately 261.92 m.

To calculate the minimum distance in which the car will stop, we need to consider the forces acting on the car and use the equations of motion.

First, let's determine the force of friction between the tires and the road. The force of friction can be calculated using the formula:

Frictional Force = Coefficient of Friction x Normal Force

The normal force is equal to the weight of the car, which can be calculated using the formula:

Weight = mass x acceleration due to gravity

Next, we need to calculate the deceleration of the car. The net force acting on the car is equal to the force of friction, and the car's deceleration is given by the equation:

Net Force = mass x deceleration

Now, we can find the deceleration of the car using the equation:

deceleration = Frictional Force / mass

Finally, we can calculate the minimum stopping distance using the equation:

Stopping Distance = (Initial Velocity^2) / (2 x deceleration)

Now, let's plug in the given values to calculate the minimum stopping distance.

Given:
Initial Velocity (v) = 58.2 km/h = 58.2 * (1000/3600) m/s
Acceleration due to gravity (g) = 9.8 m/s^2
Coefficient of Friction (μ) = 0.155

Step 1: Calculate the Normal Force
Weight = mass x acceleration due to gravity

Step 2: Calculate the Frictional Force
Frictional Force = Coefficient of Friction x Normal Force

Step 3: Calculate the Deceleration
Deceleration = Frictional Force / mass

Step 4: Calculate the Stopping Distance
Stopping Distance = (Initial Velocity^2) / (2 x Deceleration)

By substituting the values into the respective equations and solving them step by step, we can find the minimum stopping distance of the car.

Vo = 58.2km/h = 58200m/3600s. = 16.2 m/s

a = u*g = 0.155 * -9.8 = -1.52 m/s^2.

V^2 = Vo^2 + 2a*d = 0
d = -(Vo^2)/-2a = -(16.2^2)/-3.04 = 86.3
m.