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An ice skater slides in a straight line across the ice. As she passes a certain point, her velocity is 24 km/hr. Two seconds later it is 13 km/hr. What is the acceleration of the skater?

Respuesta :

The believe the answer is-11km/hr/sec

Answer : Acceleration, [tex]a=-1.525\ m/s^2[/tex].

Explanation :

It is given that,

Initial velocity of skater, u = 24 km/h = 6.66 m/s

Final velocity of skate, v = 13 km/h = 3.61 m/s

Time, t = 2 s

We know that acceleration is defined as the rate of change of velocity.

[tex]a=\dfrac{v-u}{t}[/tex]

So,

[tex]a=\dfrac{3.61\ m/s-6.66 m/s}{2\ s}[/tex]

[tex]a=\dfrac{-3.05}{2}[/tex]

[tex]a=-1.525\ m/s^2[/tex]

The acceleration of the skater is [tex]a=-1.525\ m/s^2[/tex].