(I) Estimate the order of magnitude (power of 10) of: (a) 2800, (b) 86.30 x 103, (c) 0.0076, and (d) 15.0 x 108.

(II) Three students derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s²), t the time, and the subscript zero (0) t = 0. Here are their equations: (a) x = vt² + 2at, (b) x = vot + } ať, and (c) x = vot + 2ať?. Which of these could possibly be correct according to a dimensional check, and why? means a quantity at time

(II) A typical atom has a diameter of about 1.0 x 10–10 m. (a) What is this in inches? (b) Approximately how many atoms are along a 1.0-cm line, assuming they just touch?

(I) Express the following using the prefixes of Table 1–4: (a)1 x 106 volts,  (b) 2 x 10–6 meters, (c) 6 x 103 days, (d) 18 x 102 bucks, and (e) 7 x 10–7 seconds.

a) what is the length of the unknown side, b) the tangent of θ, and c) the sine of φ?

(A) 2- Find the real root of the equation cos x = 3x – 1, using iteration method.xXo=0, 3 iterations?

Suppose U and V are unit vectors in R" and ||U – aW|| = 6 and angle between U&W is 90°, then the value of a is

(II) Determine the conversion factor between (a) km/h and mi/h,(b) m/s and ft/s,(c) km/h and m/s.

(e) In situation (3), give the direction of a by naming either a quadrant or a direction along an axis. (This can be done with a few mental calculations.) 7 N 46N 2 N 2 N 5N 2N 1N V1N (1) (2) 6 N 3 N 2N 3 N 5 N 5 N SN 4N 5N (3) (4) O +y axis O x > 0, y > 0 О +хаxis O x > 0, y 0