A particle $$\(P\)$$ is projected vertically upwards with speed $$\(5 \mathrm{~m} \mathrm{~s}^{-1}\)$$ from a point $$\(A\)$$ which is $$\(2.8 \mathrm{~m}\)$$ above horizontal ground. Find the greatest height above the ground reached by $$\(P\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_s20_qp_41 Year:2020 Question No:3(a)

Answer:

\(0=5^{2}-2 g s\)
\(s=1.25\)
[Height above ground \(=] 4.05 \mathrm{~m}\)

Knowledge points:

4.2.4 use appropriate formulae for motion with constant acceleration in a straight line. (Questions may involve setting up more than one equation, using information about the motion of different particles.)
4.4.3 solve simple problems which may be modelled as the motion of a particle moving vertically or on an inclined plane with constant acceleration Including, for example, motion of a particle on a rough plane where the acceleration while moving up the plane is different from the acceleration while moving down the plane.

Solution:

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