QCEVault

Mechanics — Question 92

Original QCE Vault practice · 7 marks

Q92 · Practice questionComplex unfamiliar7 marks

QUESTION 92 (7 marks)

A ball is projected vertically upward with speed 20 m s−120\ \mathrm{m\,s^{-1}}. Its velocity satisfies dvdt=−10−0.5v,\frac{dv}{dt}=-10-0.5v, where upward is positive and tt is in seconds.
a)
Solve for v(t)v(t).
[3 marks]
b)
Determine the time at which the ball reaches maximum height.
[2 marks]
c)
Determine the height gained before it reaches maximum height.
[2 marks]
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