Questions asked by Andy Y.

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• Is `y=(2m)*cos(k*x)` dimensionally correct, where `k = 2m^-1`?
  
• Is `2pi*sqrt(l/g)` reducable to a dimension of time?
  
• What are the dimensional units of `A` and `B` if a volume, `V`, is given by the equation `V=A*t^3+B/t`?
  
• If `V=1.5*t+0.0080*t^2` has the units millions of cubic feet per month, how would you rewrite the equation if you wanted the result in cubic feet per second?
  
• Given Newton's gravity formula, `F=G*(M*m)/(r^2)`, what are the SI units of the universal gravity constant, `G`?
  
• How do you convert 8.50 `"in"^3` to `"m"^3`?
  
• What is the area in square meters of a 100 ft `xx` 150 ft rectangular yard?
  
• What is the volume of a `40 " m"xx20 " m"xx12 " m"` room in cubic feet?
  
• What is the weight in pounds of the air in rectangular room of volume `3.39xx10^5 " ft"^3`, given the density of air is `rho_"air"=1.29 " kg"/"m"^3`?
  
• What is the velocity `5.0 " furlongs"/"fortnight"` in `"meters"/"second"`?
  
• If one square mile is 640 acres, how many square meters are there in 1 acre?
  
• How many seconds are there in a year?
  
• How long will it take to cover the moon with spherical miniature meteors, one meter tall, each with a diameter of `1.00xx10^-6` meters, hitting the moon at a rate of 1 meteor per second?
  
• If a gallon of paint covers a `25.0 " m"^2` wall, what is the thickness of the paint?
  
• What is the volume in cubic meters of a pyramid 481 feet tall with a base of 13.0 acres?
  
• If 70% of Earth's surface is water, on average 1 mile deep, what is the mass of the Earth's water in kilograms?
  
• What is the average velocity of a particle, whose position can be determined by `x=10t^2`, from `t_"initial" = 2.0 " s"` to `t_"final"=3.0 " s"` and again, from `t_"initial"=2.0 " s"` to `t_"final"=2.1 " s"`?
  
• If a car travels 200 km at an average velocity of 40 km/hr, and a second car starting 1.0 hour later arrives at the 200 km destination at the same time, what is the average speed of the second car?
  
• How do you use substitution or elimination to solve the system of equations? `2x-3y-z=0`, `3x+2y+2z=2`, and `x+5y+3z=2`
  
• How do you find the vertical, horizontal, and oblique asymptotes of `H(x)=(x^4+2x^2+1)/(x^2-x+1)`?
  
• Does `int_1^oo1/root(3)(x+1)dx` converge or diverge? If it converges, what is the integral?
  
• How do you calculate the mass of the sun, `M_"sun"`, using Kepler's third law (`T^2=(4 pi^2 r^3)/(G M_"sun")`)?
  
• How do you find the position and magnification of a convex mirror?
  
• What are the nuclear reactions required to produce `""_""^239 Pu` from `""_""^238 U` under fast neutron bombardment?
  
• If a car with velocity `100 "km"/"hr"` slams on the brakes with constant deceleration of `10 "m"/("s"^2)`, how far does the car travel before coming to a complete stop?
  
• If a ball is thrown downward from the top of a building with initial velocity of `10 "m"/"s"` and strikes the ground with a speed of `60 "m"/"s"`, how tall is the building?
  
• If a ball is dropped on planet Krypton from a height of `20 " ft"` hits the ground in `2" sec"`, at what velocity and how long will it take to hit the ground from the top of a `200 " ft"`-tall building?