QCEVault

Modelling motion — Question 224

Original QCE Vault practice · 7 marks

Q224 · Practice questionTechnology-activeComplex familiar7 marks

QUESTION 224 (7 marks)

A falling object has downward velocity satisfying dv/dt=10−2vdv/dt=10-2v, v(0)=0. Its downward displacement starts at zero.
Velocity curve approaching the dashed terminal-speed line v=5 from below.
a)
Determine velocity and terminal velocity.
[3 marks]
b)
Determine displacement.
[2 marks]
c)
When does it first reach 95 percent of terminal speed?
[2 marks]
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