Question

Trials on the surface of a new road show that,when a car skids to a halt, its acceleration is-7.0 ms^-2. Estimate the skid-to-stop distanceof a car travelling at a speed limit of 30 ms^-1

Answer 1

To estimate the skid-to-stop distance of a car traveling at a speed limit of 30 m/s and decelerating at -7.0 m/s², we can use the equation v² = u² + 2as, where v is the final velocity (0 m/s because the car comes to a halt), u is the initial velocity (30 m/s), a is the acceleration (-7.0 m/s²), and s is the displacement (skid-to-stop distance). Solving the equation gives an approximate skid-to-stop distance of 64.29 m.

Step-by-step explanation:

To estimate the skid-to-stop distance of a car traveling at a speed limit of 30 m/s and decelerating at -7.0 m/s², we can use the equation:

v² = u² + 2as

where:

• v is the final velocity (0 m/s because the car comes to a halt)
• u is the initial velocity (30 m/s)
• a is the acceleration (-7.0 m/s²)
• s is the displacement (skid-to-stop distance)

Plugging in the values, we have:

(0)² = (30)² + 2(-7.0)s

Simplifying the equation gives:

0 = 900 - 14s

Now, let's solve for s:

14s = 900
s = 900/14 = 64.29 m

Therefore, the skid-to-stop distance is approximately 64.29 m.