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PhysicsCh1 - Calculations are to be done to 5 significant...

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Calculations are to be done to 5 significant places. All work must be shown. 1. An auto travels at the rate of 25 km/h for 4.0 minutes, then at 50km/h for 8.0 minutes and finally at 20 km/h for 2.0 minutes. Find, a. the total distance covered in km and, b. the average speed for the complete trip in m/s. 1 4.0 min 4.0 min 0.066667 60 min h h = = 1 8.0 min 8.0 min 0.13333 60 min h h = = 1 2.0 min 2.0 min 0.033333 60 min h h = = (a) The distance traveled is 25 (0.066667 ) 50 (0.13333 ) 20 (0.033333 ) 8.9998 km km km d h h h h h h km = + + = (b) The total time is t = 4.0 min + 8.0 min + 2.0 = 14.0 min The average speed is 8.9998 8999.8 8999.8 10.714 14.0 min 14.0(60 s) 840.0 s d km m m m v t s = = = = = 2. Starting from the center of town, a car travels east for 80.0 km and then turns due south for another 192 km, at which point it runs out of gas. Determine the displacement of the stopped car from the center of town. By Pythagorean Theorem the displacement is 2 2 d a b = + 2 2 2 2 2 (80.0 ) (192 ) 6400 36864 43264 208 d km km km km km km = + = + = = 192 tan 2.4 80.0 θ = = 1 0 tan 2.4 67.380 θ - = = south of east
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3. A bug starts at point A, crawls 8.0 cm east, then 5.0 cm south, 3.0 cm west, and 4.0 cm north to point B. (A) how far north and east is B from A? (B) Find the displacement from A
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