Question

I need help
An Ice Skater starts with a velocity of 2.25 in 50.0 degree direction. After 8.33s, she is moving 4.65m/s in 120 degree direction. What are the X and Y components of her acceleration.

Answer 1

Solving the trig I think the answer is -0.32 m/s/s in X direction and + 0.64 m/s/s in Y direction.

Answer 2

Is this using\[\Large a_x=\frac{v_{f,x} - v_{i,x}}{t_{f,x} - t_{i,x}}\]?

Answer 3

And splitting up the components like

Answer 4

I am assuming 50 and 120 angles w.r.t an arbitrary line which i am calling x-axis

Split components like this

Initial velocity:

vix = 2.25 cos50
viy=2.25 sin50

Final velocity

vfx= 4.65 cos120
vfy =4.65 sin120

Then find components of acceleration in both x and y directions

ax = vfx-vix / t
ay = vfy-viy / t

t=8.33s=time taken for the change in the velocity.