At time t = 0, a parachutist jumps out of an airplane that is travelling horizontally.
The velocity, v ms-1 , of the parachutist at time t seconds is given by:
\mathbf{v}=\left(40e^{-0.2t}\right)\mathbf{i}+50\left(e^{-0.2t}-1\right)\mathbf{j}
The unit vectors i and j are horizontal and vertical respectively.
Assume that the parachutist is at the origin when t = 0
Model the parachutist as a particle.
The parachutist opens her parachute when she has travelled 100 metres horizontally.
Find the vertical displacement of the parachutist from the origin when she opens her parachute.
Give your answer to 1 decimal place.
m
[4 marks]
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