One end of a piece of elastic is attached to a point at the top of a door frame and the other end hangs freely. A small ball is attached to the free end of elastic. When the ball is hanging freely it is pulled down a small distance and then released, so that the ball oscillates up and down on the elastic. The depth d centimetres of the ball from the top of the door frame after t seconds is given by:
d = 100 + 10cos500t
Find
a) the greatest and least depths of the ball,
b) the time at which the ball first reaches its highest position,
c) the time taken for a complete oscillation,
d) the proportion of the time during a complete oscillation for which the depth of the ball is less then 99 centimeters.
2007-10-08
07:36:03
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5 answers
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asked by
Anonymous