1) The Bird and Train Problem: Two trains are 50 miles apart. At 1 p.m. on Sunday a train pulls out from each of the stations and the trains start toward each other. At that moment, a hawk flies into the air in front of the first train and flies ahead to the front of the second train. When the hawk reaches the second train i

Consider a small, natively disordered protein that exists in equilibrium with a highly ordered (folded) protein. At 37°C, the ratio of the disordered protein to ordered is 100 to 1. First, write an equilibrium expression (Keq) that describes this situation and calculate the corresponding Keq and free energy. Second, imagine

If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -16t^2 + 32t where t is time in seconds. Graph this parabola for 0 < or equal to t < or equal to 2. What is the maximum height reached by the ball?

A forensic scientist uses the expression 72.6+2.5T to estimate the height in centimeters of a female with a tibia of length T centimeters. If a female skeleton has a tibia of length of 32.4 cm, then what was the height of the person? Find the length of your tibia in centimeters, and use the expression from this exercise or the p

An arrow is shot with a velocity of 45 m/s at an angle 50 degrees with the horizontal.What is the height of the arrow at a point 150 meters down range?
I think I know how to get the TOTAL distance: 45sin(50)(3.52)-.5x9.8x3.52=203.6M BUT NOT THE HEIGHT.

Elena likes to climb a vertical rock wall at an amusement park. From a point that is 10M from the base of the wall, the angle of the elevation of the top of the wall is 72 degree. What is the height of the wall, to the nearrest metre?

Suppose the volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Now suppose the volume of the can is 100 cubic centimeters.
How do would you write h as a function of r?
What is the measurement of the height if the radius o

32)
Two models were proposed for a simple regression of tree height on bark thickness, Model A: Height' = 7.8*Bark + 37 and Model B: Height' = 8*Bark + 35. Using the information and calculations below, which model is best?
Model A: Height' = 7.8*Bark + 37
Tree ID Height (feet) Bark Thickness (millimeters) Predicted Hei