A bicyclist in the Tour de France has a speed of 28.0 miles per hour (mi/h) on a flat section of the road. What is this speed in (a) kilometers per hour (km/h), and (b) meters per second (m/s)? (a) Number (b) Number i Units Units ♦
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- In meters, what is the displacement traveled fromt = 10 sec to t = 25 sec? To correctly calculate the answer, you must determine the total area of this section. Enter your answer as an integer, not a fraction. 20 15 + 10 10 15 20 25 t(sec) -5 -10 -15 -20 v(m/sec) inOne afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.91 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number Units (b) Number i Units (c) Number i Unitsd²y Let 4 - 5y = 0, suppose the solution has the form y = e1x. - dx2 dx Find the Characteristic Equation of å and find the roots of the equation.
- Suppose your hair grows at the rate of 1/34 inch per day. Find the rate at which it grows in nanometers per second. Because the distance between atoms in a molecule is on the order of 0.1 nm, your answer suggests how rapidly atoms are assembled in this protein synthesis.One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.37 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number i Units (b) Number i (c) Number i Units UnitsOn May 26, 1934, a streamlined, stainless steel diesel train called the Zephyr set the world’s nonstop longdistance speed record for trains. Its run from Denver to Chicago took 13 hours, 4 minutes, 58 seconds, and was witnessed by more than a million people along the route. The total distance traveled was 1633.8 km. What was its average speed in km/h and m/s?
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- If you want to go by train from Los Angeles to New York, you must make a stop. First, you musttravel 1800 miles East to reach New Orleans. Then you must travel 1300 miles at 45◦ North of Eastto reach New York.(a) Graph the vectors for each segment of the trip and the resulting displacement. Each tick markshould represent 300 miles.(b) If you flew directly from Los Angeles to New York, how far would the flight be? Please show your workThe bacterium Escherichia coli (or E. coli) is a single-celled organism that lives in the gut of healthy humans and animals. Its body shape can be modeled as a 2-µm-long cylinder with a 1 µm diameter, and it has a mass of 1 x 10-12 Its chromosome consists of a single doublestranded chain of DNA 700 times longer than its body length. The bacterium moves at a constant speed of 20 µm/s, though not always in the same direction. Answer the following questions about E. coli using Sl units (unless specifically requested otherwise) and correct significant figures. a. What is its length?After conducting the signal speed experiment a student has recorded the following data. L₂ (m) 1.5 3 4.5 8 15 30 dt (ns) 6.50 13.72 21.02 38.10 72.20 145.42 L2 is the length of the longer cable in meters and dt is the measured time delay in nanoseconds. The student neglected to record L₁, the length of the shorter cable. After speaking with their instructor, they learn all is not lost. They know the speed of the signal can be calculated based on the distance traveled divided by the time. However, the recorded times measure how much longer the signal had to travel in L2 compared to L₁. A little bit of thought convinces them (correctly) that