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2 Unit 2: Applied Mathematics A

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Question 99

In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2

A stone of mass 0.4 kg is released from rest at a point 2.5 metres vertically above the surface of a lake.

The stone falls freely under gravity until it enters the water.

While the stone is moving through the water it experiences a constant resistance of magnitude 12 N, in addition to its weight.

a.

Find the speed of the stone as it enters the water.

[2]
b.

Find the magnitude of the deceleration of the stone while it is moving through the water.

[3]
c.

Find the depth below the surface at which the stone first comes to instantaneous rest.

[2]
Markscheme

2 Unit 2: Applied Mathematics A Questions

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

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