Susan competes in luge competitions during the winter months. She rides solo on a small sled 3 inches off the ground down icy slopes, turning only by use of her feet and the shifting of her weight on the sled. During the initial stage of one downhill luge, Cynthia accelerated from rest at 5.9 m/s2 for 3.2 seconds. Calculate how far she traveled during this time.

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DevonFen DevonFen · Answer 1 · 2019-11-26T10:43:59+01:00

Answer:30.2m

Explanation:

Let [tex]s[/tex] be the displacement of Susan.

Let [tex]u[/tex] be the initial velocity of Susan.

Let [tex]a[/tex] be the acceleration of Susan.

Let [tex]t[/tex] be the time taken by Susan.

Given that Susan starts from rest.

From the given information we can assume that no additional forces are acting on the sled.So,the acceleration is constant.

As we know from the equations of motion,

[tex]s=ut+\frac{1}{2}at^{2}[/tex]

Given that,

[tex]a=5.9ms^{-2}\\t=3.2sec\\u=0[/tex]

So,[tex]s=(0)(3.2)+\frac{1}{2}\times (5.9)\times (3.2\times 3.2)=0+30.2=30.2m[/tex]