Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  2. Maths OCR (MEI)
  3. Question bank

3.2 Kinematics

MediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384
Question 72

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]

3.2 Kinematics Questions

  1. A Level
  2. /Maths
  3. /3.2 Kinematics