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In a quarter-mile drag race, two cars start simultaneously from rest, and each accelerates at a constant rate until it either reaches its maximum speed or crosses the finish line. Car A has an acceleration of 11.7 m/s2 and a maximum speed of 109 m/s. Car B has an acceleration of 11.1 m/s2 and a maximum speed of 92.0 m/s. Which car wins the race, and by how many seconds?

Sally travels by car from one city to another. She drives for 20.0 min at 80 km/h, 12 min at 105 km/h, and 45 min at 40 km/h. She spends 13.0 min eating lunch and buying gas.Determine the average speed for the trip.

A spaceship orbits the moon at height of 20000 m. assuming it to be subject only to the gravitational pull of the moon, find its speed and the time it takes for one orbit.

Write a single program that calculates the arithmetic mean (average), rms average, geometric mean
and harmonic mean for a set of n positive numbers. Your program should take two values xlow and
xhigh and generate 10000 random numbers in the range [xlow...xhigh], and should print out arithmetic
mean (average), rms average, geometric mean and harmonic mean.

The Birthday Problem: The birthday problem is stated as follows:
If there is a group of n people in a room, what is the probability that two or more of them having same birthday? It is possible to determine answer to this question by simulation. (Hint: You can generate random dates, n times and determine the fraction of people who born in a given day). Write a function that determines the answer to this question by simulation. The program you write can take n as the input and prints out the probability that two or more of n people will have the same birthday for n=2,3,4…. 40

Write a single program that calculates the arithmetic mean (average), rms average, geometric mean and harmonic mean for a set of n positive numbers. Your program should take two values xlow and xhigh and generate 10000 random numbers in the range [xlow…xhigh], and should print out arithmetic mean (average), rms average, geometric mean and harmonic mean.
The definitions of means are given as follows.

Matlab: Write a single program that calculates the arithmetic mean (average), rms average, geometric mean and harmonic mean for a set of n positive numbers. Your program should take two values xlow and xhigh and generate 10000 random numbers in the range [xlow…xhigh], and should print out arithmetic mean (average), rms average, geometric mean and harmonic mean.

Matlab: write separate functions arithmetic_mean(), rms_average(), harmonic_mean(), geometric_mean() which takes the data array as the argument and compute the respective quantities. Write a script averages which take two values xlow and xhigh and generate 10000 random numbers in
the range [xlow…xhigh], and calls the appropriate functions to compute arithmetic mean (average), rms average, geometric mean and harmonic mean.

write separate functions in Matlab arithmetic_mean(), rms_average(), harmonic_mean(), geometric_mean() which takes the data array as the argument and compute the respective quantities. Write a script averages which take two values xlow and xhigh and generate 10000 random numbers in
the range [xlow…xhigh], and calls the appropriate functions to compute arithmetic mean (average), rms average, geometric mean and harmonic mean.

Write a single program in Matlab that calculates the arithmetic mean (average), rms average, geometric mean and harmonic mean for a set of n positive numbers. Your program should take two values xlow and xhigh and generate 10000 random numbers in the range [xlow…xhigh], and should print out arithmetic mean (average), rms average, geometric mean and harmonic mean.