The y-component of the acceleration is ![0.22 m/s^2](https://tex.z-dn.net/?f=0.22%20m%2Fs%5E2)
Explanation:
The y-component of the acceleration is given by
![a_y = \frac{v_y-u_y}{t}](https://tex.z-dn.net/?f=a_y%20%3D%20%5Cfrac%7Bv_y-u_y%7D%7Bt%7D)
where
is the y-component of the final velocity
is the y-component of the initial velocity
t is the time elapsed
For the ice skater in this problem, we have:
u = 2.25 m/s is the initial velocity, in a direction ![\theta=50.0^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D50.0%5E%7B%5Ccirc%7D)
v = 4.65 m/s is the final velocity, in a direction ![120^{\circ}](https://tex.z-dn.net/?f=120%5E%7B%5Ccirc%7D)
t = 8.33 s is the time elapsed
The y-components of the initial and final velocity are:
![u_y = u sin \theta = (2.25)(sin 50^{\circ})=1.72 m/s\\v_y = v sin \theta = (4.65)(sin 50^{\circ})=3.56 m/s](https://tex.z-dn.net/?f=u_y%20%3D%20u%20sin%20%5Ctheta%20%3D%20%282.25%29%28sin%2050%5E%7B%5Ccirc%7D%29%3D1.72%20m%2Fs%5C%5Cv_y%20%3D%20v%20sin%20%5Ctheta%20%3D%20%284.65%29%28sin%2050%5E%7B%5Ccirc%7D%29%3D3.56%20m%2Fs)
So the y-component of the acceleration is
![a_y = \frac{3.56-1.72}{8.33}=0.22 m/s^2](https://tex.z-dn.net/?f=a_y%20%3D%20%5Cfrac%7B3.56-1.72%7D%7B8.33%7D%3D0.22%20m%2Fs%5E2)
Learn more about acceleration:
brainly.com/question/9527152
brainly.com/question/11181826
brainly.com/question/2506873
brainly.com/question/2562700
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