GCE Advanced Level (Sri Lanka) · Combined Mathematics

Applied Maths: Kinematics, Projectiles and Newton's Laws

6 practice questions, each with the answer and an explanation.

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All 6 questions

A particle is projected from horizontal ground with speed $u$ at an angle $α$ to the horizontal under gravity $g$ . Find the horizontal range $R$ .
A stone is dropped from the top of a tower of height $H$ . At the same instant, another stone is projected vertically upwards from the base with velocity $V$ . Find the time $t$ when they meet.
Two particles of masses $m_{1}$ and $m_{2}$ ( $m_{1} > m_{2}$ ) are connected by a light inextensible string passing over a smooth fixed pulley (Atwood's machine). Find the acceleration $a$ of the system.
A particle moves along a straight line such that its velocity at displacement $x$ is given by $v^{2} = 16 - 4 x^{2}$ . Determine the motion and find its period.
A projectile has a horizontal range $R$ and maximum height $H$ . Find the angle of projection $α$ in terms of $R$ and $H$ .
A smooth sphere of mass $m$ moving with speed $u$ collides obliquely with a fixed smooth plane. The incident direction makes an angle $θ$ with the normal to the plane. If the coefficient of resti…

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