Aspeed skater moving across frictionless ice at 10.0 m/s hits a 5.0 m wide patch of rough ice. she slows steadily, then continues on at 7.0 m/s. what is her acceleration on the rough ice?

To calculate the acceleration of the skater on the rough ice, we use the equation

Here, u is initial speed when she hits the patch of ice and its value is 10 m/s and v is final speed when she left the patch of ice and its value is given 7.0 m/s and s is the width of patch of ice and its value is 5.0 m.

Substituting these values in above equation we get,

.

Thus, the acceleration of skater on the rough ice is