Physics 9702 · AS & A Level · Equations of motion

Equations of motion — practice question

(a)[1]

Define the term acceleration.

(b)[3]

An Olympic diver is standing on a platform above a pool of water, as shown in Fig. 2.1. While on the platform, the diver’s centre of gravity is $9.0\,\text{m}$ above the water surface. The diver leaves the platform with a velocity of $5.9\,\text{m s}^{-1}$ at an angle of $60^\circ$ to the horizontal. Air resistance is negligible. When the diver reaches the water surface, his centre of gravity is $1.2\,\text{m}$ above the water surface. Calculate the speed of the diver at the instant he hits the surface of the water.

(c(i))[2]

Describe and explain how the viscous drag force on the diver in the water varies as he moves downwards.

(c(ii))[1]

The diver’s volume is $7.5 \times 10^{-2}\,\text{m}^3$. The density of water is $1.0 \times 10^3\,\text{kg m}^{-3}$. Show that the upthrust on the diver when he is completely underwater is $740\,\text{N}$.

(c(iii))[4]

At one particular instant, when the diver is completely underwater, his horizontal velocity is zero. At that moment the viscous drag force on him is $950\,\text{N}$ upwards. The diver’s mass is $78\,\text{kg}$. Determine the magnitude and direction of the diver’s acceleration.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: The rate at which velocity changes

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