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anonymous
 5 years ago
The acceleration of a body is given in terms of the displacement s metres as a = 2s/(s^2 + 1)
Give a formula for the velocity as a function of the displacement given that when s = 1metres, v = 2ms^1. Hence, find the velocity when the body has travelled 5 metres
anonymous
 5 years ago
The acceleration of a body is given in terms of the displacement s metres as a = 2s/(s^2 + 1) Give a formula for the velocity as a function of the displacement given that when s = 1metres, v = 2ms^1. Hence, find the velocity when the body has travelled 5 metres

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0integrate a for v, you get v(s) = ln(s^2 + 1) + C given when s = 1 v = 2 v(1) = ln(1 + 1) + C = 2 C = 2  ln(2) v(s) = ln(s^2 + 1) + 2  ln(2) v(5) = ln(26) + 2  ln(2) v(5) = ln(26/2) + 2 (rule of logs) v(5) = ln(13) + 2 v(5) is about 4.565 m/s
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