I'm really bored now, so I decided to make these problems for anyone else who is bored. Some of these problems I have absolutely no knowledge on.

**(1.) **A "supercar" increases its speed by a factor of 120% every second when it "boosts". The supercar normally travels at a rate of 200 miles per hour. Its wheels have a radius of 3 feet. However, there is another criminal car in front of the supercar that is traveling at a rate of 250 miles per hour. In order to catch up, it must boost.

In how much time and how much rotations of the wheel will the supercar catch up to the criminal car?

**(2.) **On web2.0calc.com, a user is posting 4 questions per minute.

CPhill answers a question per 34 seconds. There is a 45% probability that the user will give a point for the answer

Melody answers a question per 34 seconds. There is a 45% probability that the user will give a point for the answer

However, since they both answer the questions, the user will only give a point to one of them. So it is a 50 - 50 chance for both of them to have the

45% probability of receiving a point.

CPhill currently has 101871 points as of right now, and Melody has 102459 as of right now too. What is the probability that Melody will reach 103000 points in a day.

(3.) NASA launches a rocket that weighs 20 tons toward the sky. The rocket has 4 propulsion systems, one in the middle with the other three surrounding it in a triangle.

The middle one has a force of 200,000 pounds of push. The outer three have a force of 50,000 pounds of push.

After 3 minutes of flying, the rocket suddenly malfunctions and one of the outer propulsion systems that have 50,000 pounds of push instantly stops working.

The malfunction lasts for one minute before the malfunctioning propulsion system starts again.

How high is the rocket now after the malfunction propulsion system restarts?

CalculatorUser Jul 20, 2019

#4**+1 **

To answer question (1), we need to know the distance to the target car when the super car *boosts*.

Because the acceleration is increasing as a percentage of its instantaneous speed, calculating the elapsed time requires both ** differential and integration functions** to solve. But ...

...To give you an idea how fast this super car is accelerating, it will reach

\(200*(2.2)^{19} \text { MPH } \approx 0.956 \text {...c}\\\)

95.6% of the speed of light in 19 seconds. So, unless the criminal car is very far away, it won’t take long to catch up to it.

GA

GingerAle Jul 24, 2019