Question

1. the skid marks left by the decelerating jet - powered car the spirit of america were 9800 m long. if the car was traveling at 193 m/s, how long did it take the car to stop?

Explanation:

Step1: Identify the formula

We use the formula \(d = \frac{v + u}{2}t\), where \(d\) is the distance, \(u\) is the initial velocity, \(v\) is the final velocity, and \(t\) is the time. Here, \(v = 0\) (the car stops), \(u=193\ m/s\), and \(d = 9800\ m\).

Step2:Rearrange the formula for \(t\)

Since \(d=\frac{u + v}{2}t\), and \(v = 0\), the formula becomes \(t=\frac{2d}{u}\)

Step3: Substitute the values

Substitute \(d = 9800\ m\) and \(u = 193\ m/s\) into \(t=\frac{2d}{u}\). So \(t=\frac{2\times9800}{193}\)

Step4: Calculate the value of \(t\)

\(t=\frac{19600}{193}\approx101.55\ s\)

Answer:

The time taken for the car to stop is approximately \(101.55\ s\)