The following times are given using metric prefixes on the base SI unit of time: the second. Rewrite them in scientific notation without the prefix (in s). For example, 47 Ts would be rewritten as 4.7 ✕ 1013 s. (Enter your answers as m ✕ 10n, where 1 ≤ |m| < 10  and n is an integer.) 984 Ps 986 fs 19 ns 572 µs

In the following calculations, be sure to express the answer in standard scientific notation with the appropriate number of significant figures. 3.78 x < 107 g – 4.701 × 105 g - x 10 g

Tom Cogwagee Longboat, of the Six Nations of the Grand River, is one of Ontario's best known distance runners. In 1907, he set a new Boston Marathon record, beating all of the previous decade's champions by almost 5 minutes! If he ran the 39.2 km course in 2 hours, 24 minutes and 24 seconds, what was his speed? HINT: we'll need our units to be metres per second - what do you need to convert in the question? 0.221 m/s O 0.272 m/s O 4.52 m/s O 17.5 m/s

Suppose a machine is invented to measure the amount of knowledge in a student’s head in units called “factoids.” One student is measured at F(t) = t³ − 6t² + 9t factoids at time t, where t is measured in weeks. a. Find the rate at which the student is gaining (or losing) knowledge as a function of time (be sure to give the units). b. During what time between t = 0 and 11 is the student losing knowledge? c. Sketch a graph of the function F(t).

Part II. Significant Figures The significant figures in a number are all figures that are obtained from the measuring process and exclude those zeros that are included solely for the purpose of locating the decimal point. This definition will be clarified with a number of examples. Number 123 12.3 2016 2.016 2.016 X 10³ 2.01 X 10¹ 2.0 X 10³ 2 X 10³ 10³ 410 410. 4.1 X 10² 4.10 X 10² 41.0 .00159 1.59 X 10 3 0.2 Significant Figures Comments

It's showing that b is not correct. Thank you for your help with this practice problem.

Consider the physical quantities s, v, a, m, and t with dimensions [s] = L, [v] = LT-¹, [a] = LT-2, [m] = M, and [t] = T. Select the dimensionally consistent equation(s). U √2as = v S = vtm + a = U S = at at² m

The speed of sound is 1100 ft/sec at sea level.   a. Express the speed of sound in mi/hr.  b. Change the speed of sound to mi/year. Let 365 days=1 year.

A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at time t is h(t) : 30t – 4.9t2 m. Compute the stone's average velocity ū in m/s over the time intervals [2, 2.01], [2,2.001], [2,2.0001] and [1.9999, 2], [1.999, 2], [1.99, 2]. (Use decimal notation. Give your answers to three decimal places.) Ū12,2.01] = m/s Ü12,2.001] = m/s U12,2.0001] = m/s

If an equation is not dimensionally correct, does that mean that the equation cannot be true?   a. yes b. no