A cross-country skier is skiing along at 7 m/s. He stops pushing and slows to 6 m/S after gliding 5 m. What is the magnitude of his acceleration?

A cross-country skier is skiing along at 7 m/s. He stops pushing and slows to 6 m/S after gliding 5 m. What is the magnitude of his acceleration?

- March 19, 2022

Given:

Initial velocity of skier:

$u=7\textup{ m/s}$

Velocity after gliding 5 m:

$u=6\textup{ m/s}$

Gliding distance:

$d=5\textup{ m}$

Write the equation of uniform acceleration motion:

$v^2-u^2=2ad$

$a=\frac{v^2-u^2}{d}$

$a=\frac{6^2-7^2}{5}$

$a=-2.6\textup{ m/s}^2$

Thus, the acceleration of the skier is -2.6 m/s².

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