# Question (1 point) The following differential equations represent oscillating springs. (i) 9s" +8 = 0, $(0) = 10, s'(0) = 0. (ii) 168" +s = 0,$(0) = 20, s'(0) = 0. (iii) s" + 9s = 0, $(0) = 5, s'(0) = 0. (iv) s" + 168 = 0,$(0) = 4, s'(0) = 0. = Which differential equation represents: (a) The spring oscillating most quickly (with the shortest period)? ? (b) The spring oscillating with the largest amplitude? ? (C) The spring oscillating most slowly (with the longest period)? ? (a) The spring oscillating with the largest maximum velocity? ?

Transcribed Image Text: Transcribed image text: (1 point) The following differential equations represent oscillating springs. (i) 9s" +8 = 0, $(0) = 10, s'(0) = 0. (ii) 168" +s = 0,$(0) = 20, s'(0) = 0. (iii) s" + 9s = 0, $(0) = 5, s'(0) = 0. (iv) s" + 168 = 0,$(0) = 4, s'(0) = 0. = Which differential equation represents: (a) The spring oscillating most quickly (with the shortest period)? ? (b) The spring oscillating with the largest amplitude? ? (C) The spring oscillating most slowly (with the longest period)? ? (a) The spring oscillating with the largest maximum velocity? ?
Transcribed Image Text: Transcribed image text: (1 point) The following differential equations represent oscillating springs. (i) 9s" +8 = 0, $(0) = 10, s'(0) = 0. (ii) 168" +s = 0,$(0) = 20, s'(0) = 0. (iii) s" + 9s = 0, $(0) = 5, s'(0) = 0. (iv) s" + 168 = 0,$(0) = 4, s'(0) = 0. = Which differential equation represents: (a) The spring oscillating most quickly (with the shortest period)? ? (b) The spring oscillating with the largest amplitude? ? (C) The spring oscillating most slowly (with the longest period)? ? (a) The spring oscillating with the largest maximum velocity? ?