A child runs straight off the end of a level dock moving at 3.2 m/s. The surface of the dock is 75 cm above the water. How far from the end of the dock does the child land in the water?

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A child runs straight off the end of a level dock moving at 3.2 m/s. The surface of the dock is 75
cm above the water. How far from the end of the dock does the child land in the water?

Expert Solution
Step 1

The child is initially running horizontally off the dock, at a speed of 3.2 m/s.

This dock is at a vertical distance of 75 cm or 0.75 m from the surface of the water, and the child runs straight off the end of this dock into the water.

The vertical distance the child covers in falling from the dock is equal to the height of the dock above water, 0.75 m and the child falls under the influence of gravity.

Since gravity acts vertically downwards, this imparts an acceleration on the child, also acting vertically downwards, equal to acceleration due to gravity.

This problem will be solved using the following kinematical equations

v=u+atv2=u2+2ass=ut+12at2u is the initial velocityv is the final velocity after travelling distance s and time ta is the acceleration

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