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2 Unit 2: Applied Mathematics A

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Question 155

A high-precision hydraulic piston moves in a straight line inside a cylinder relative to a reference marker MMM. The displacement, x x\,x metres, of the piston from M M\,M at time t t\,t seconds is given by

x=c+12t−λe−0.25t x = c + 12t - \lambda e^{-0.25t} x=c+12t−λe−0.25t

where c c\,c and λ \lambda\,λ are constants. At time t=4t = 4t=4, the acceleration of the piston is -1.5 m s-2.

a.

Show that λ≈65.2\lambda \approx 65.2λ≈65.2

[4]
b.

Given that the piston has an initial displacement of 16 metres, find the value of ccc. Give your answer to two significant figures.

[2]
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2 Unit 2: Applied Mathematics A Questions

  1. A Level
  2. /Maths
  3. /2 Unit 2: Applied Mathematics A

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