Purchase Solution

# Derivative Problem: Bob the Formula 1 Fan

Not what you're looking for?

Bob is a Formula 1 fan, lucky enough to obtain tickets for the last race of the season, and the tickets are excellent, facing the long straight part of the track, where most of the overtaking occurs. At one point during the race, the race leader reached the top speed of 300km/h, and he was almost in front of Bob when it happened! (see attached picture). How fast was Bob's angle of vision changing when that happened? (In other words, find da/dt for the configuration in the picture.

##### Solution Summary

The expert determines how fast Bob's angle of vision changing is happening through using derivatives.

##### Solution Preview

Solution: Let the instantaneous distance of the car from the position A (just opposite Bob on the track) be x. Then, x/15 = tan a

a = tan-1(x/15) ...(1)

Using the standard differentiation d/dx (tan-1x) ...

##### Free BrainMass Quizzes

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts