By Richard Walding; Greg Rapkins; Glenn Rossiter
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000 000 8; (j) 5 million. 7 × 10–5)3). 000 000 38. 000 670 L? 0001 T; (e) 325 ± 10 cm. A student is required to determine the density of a particular metal. The object is in the shape of a cylinder. e. 1 mm to measure the length. Recall that the error associated with a reading is half the limit of reading. 11. New Century Senior Physics: Concepts in Context Ch01-Walding 4th 25/8/04 9:19 AM Page 23 Ta b l e 1 . 5 (a) (b) (c) (d) (e) *34 What absolute error is associated with each reading? Determine the average values for length and diameter.
Substituting this into equation (2), we get: a s = u + v × v – u or 2as = (u + v)(v – u) 2 a 2as = v 2 – u 2 v 2 = u 2 + 2as (4) Note: these formulas only apply when the acceleration is constant and the motion is in a straight line. Velocity, acceleration and displacement are vector quantities and therefore may be positive or negative. 9. Motion in a Straight Line 39 Ch02-Walding 4th 25/8/04 10:14 AM Page 40 Ta b l e 2 . 9 S U M M A RY O F F O R M U L A S MOTION WITH UNIFORM VELOCITY N OV E L C H A L L E N G E MOTION WITH UNIFORM ACCELERATION v = constant s vav = t s = vt a = constant v+u vav = 2 v = u + at s = ut + 1 2 at 2 A column of troops 3 km long is marching along a road.
Many types of motion are occurring around us all the time. Blood flow, moving bullets, cricket balls, athletics, cars, stars, planets, neutrinos and weaving looms are some of the areas where motion is measured. Some need to be measured carefully, others not. A car speedometer that is a few kilometres per hour over or under makes little difference but better accuracy is needed when timing a 100 metre sprint or controlling the speed of videotape through the heads of a VCR. Sometimes the motion of objects doesn’t make sense.