HW2 (solutions)

# HW2 (solutions) - myers (nmm698) HW02 Hamrick (54868) This...

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myers (nmm698) – HW02 – Hamrick – (54868) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points A tank holds 1000 gallons oF water, which drains From the bottom oF the tank in halF an hour. The values in the table t (min) 5 10 15 20 25 30 V (gal) 656 420 292 147 16 0 show the volume, V ( t ), oF water remaining in the tank (in gallons) aFter t minutes. IF P is the point (15 , V (15)) on the graph oF V as a Function oF time t , fnd the slope oF the secant line PQ when Q = (25 , V (25)). 1. slope = 14 . 5 2. slope = 36 . 4 3. slope = 12 . 8 4. slope = 27 . 6 correct 5. slope = 55 . 2 Explanation: When P = (15 , V (15)) , Q = (25 , V (25)) the slope oF the secant line PQ is given by rise run = V (25) V (15) 25 15 . ±rom the table oF values, thereFore, we see that slope = 16 292 25 15 = 27 . 6 . 002 10.0 points The position oF a car as a Function oF time is given by the values in table t (seconds) 0 1 2 3 4 5 s (Feet) 0 14 22 28 46 58 ±ind the average velocity For the time period beginning when t = 2 and lasting 2 seconds. 1. average vel. = 12 Feet/sec correct 2. average vel. = 13 Feet/sec 3. average vel. = 14 Feet/sec 4. average vel. = 16 Feet/sec 5. average vel. = 15 Feet/sec Explanation: Average velocity between times t = 2 and t = 2 + h is given by dist. travelled time taken = s (2 + h ) s (2) h . When h = 2, thereFore, s (2 + 2) s (2) 2 = s (4) s (2) 2 = 46 22 2 . Consequently, over the time interval From t = 2 to t = 4 the car has average velocity = 12 Ft/sec . 003 10.0 points A car is driven at a constant speed. Sketch a graph oF the position oF the car as a Function oF time. 1. time position

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myers (nmm698) – HW02 – Hamrick – (54868) 2 2. time position 3. time position 4. time position 5. time position 6. time position correct Explanation: When the position of the car is plotted against time, the slope of the graph indicates the speed of the car, the greater the slope, the greater the speed, and the car is stationary when the slope is zero. Thus of the graphs,
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## This note was uploaded on 03/10/2011 for the course M 408k taught by Professor Schultz during the Fall '08 term at University of Texas at Austin.

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HW2 (solutions) - myers (nmm698) HW02 Hamrick (54868) This...

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