Question

A truck is traveling at 30 m/s on a slippery road. The driver slams on the brakes and the truck starts to skid. If the coefficient of kinetic friction between the tires and the road is .20, how far will the truck skid before stopping?

A 230 M
B 300 M
C 450 M
D 680 M

Answer 1

The truck will skid approximately 230 meters before stopping.

Step-by-step explanation:

To determine the distance the truck will skid before stopping, we can use the formula:

d = (vi2 - vf2) / (2a)

Where:

• d is the distance
• vi is the initial velocity
• vf is the final velocity
• a is the deceleration

In this case, the initial velocity is 30 m/s, the final velocity is 0 m/s (because the truck stops), and the deceleration can be calculated using the formula:

a = μg

Where:

• μ is the coefficient of kinetic friction
• g is the acceleration due to gravity (which is approximately 9.8 m/s²)

Substituting the values into the formulas, we get:

a = 0.20 × 9.8 m/s²

a = 1.96 m/s²

d = (302 - 02) / (2 × 1.96 m/s²)

d = 900 / 3.92

d ≈ 229.6 m

Therefore, the truck will skid approximately 230 meters before stopping.