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Variable Acceleration in One Dimension

Medium
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Question 2

A particle moves in a straight line relative to an origin OOO. The displacement, sss metres, of the particle from OOO at time ttt seconds is given by

s=p+5t−ke−0.4t s = p + 5t - ke^{-0.4t} s=p+5t−ke−0.4t

where ppp and kkk are constants. At time t=2t = 2t=2, the acceleration of the particle is −2.4 m s−2-2.4\text{ m s}^{-2}−2.4 m s−2.

a.

Show that k≈33.4k \approx 33.4k≈33.4

[4]
b.

Given that the particle has an initial displacement of 8 metres, find the value of ppp. Give your answer to two significant figures.

[2]

Variable Acceleration in One Dimension Questions

  1. A Level
  2. /Maths
  3. /Variable Acceleration in One Dimension

Practise Edexcel A Level Maths Variable Acceleration in One Dimension with exam-style questions for A Level Maths. 6 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank