Problem Bank | IB Math AASL

[Maximum mark: 9]

A snail is sitting on the inside rim of a car's tire as it drives at a constant speed.

The height, in cm, of the snail above the road is given by

h(t)=22cos(bt°)+29

where t is the time in hours since the car started driving.

1. Write down the inner diameter d of the tire.
  [1]
  To earn a crown, get your answer ready before you reveal the options!
2. Find the thickness T of the tire.
  [2]

The car drives at a speed of 70km/h.

Find the value of b, giving your answer in the form a×10k where 1≤a<10 and k∈Z.
[6]

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