q4s - (d v(3 2 √ 3 = 96-32(3 2 √ 3 =-64 √ 3 ≈-110...

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Basic Calculus/Quiz #4/February 20, 2012 SOLUTIONS We can write s ( t ) = 48 + 96 t - 16 t 2 = - 16( t 2 - 6 t - 3). 1. (a) v ( t ) = s 0 ( t ) = 96 - 32 t = 0 when t = 3. (b) s (3) = - 16(9 - 18 - 3) = 16 × 12 = 192 ft. (c) We solve s ( t ) = 0. This gives t = 6 ± 36 + 12 2 = 3 ± 2 3. We discard the negative value and get t = 3 + 2 3
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Unformatted text preview: (d) v (3+2 √ 3) = 96-32(3+2 √ 3) =-64 √ 3 ≈ -110 . 851 feet per second. 2. (a) C ( x ) = 3-. 02 x = 2 when x = 50. (b) C (51)-C (50) = 3(51-50)-. 01(51 2-50 2 ) = 3-. 01 × 101 = 1 . 99....
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