Question

A puck moves 2.35 m/s in a -22 degree direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50 degree direction. What is displacement y?

Answer 1

Displacement in Y direction is 0.434 m

Step-by-step explanation:

initial velocity of the puck is 2.35 m/s at -22 degree

so here it is given as

`v_i = 2.35 cos22 \hat i - 2.35 sin22 \hat j`

`v_i = 2.18 \hat i - 0.88 \hat j`

final velocity is given as 6.42 m/s at 50 degree

so we have

`v_f = 6.42 cos50 \hat i + 6.42 sin50\hat j`

`v_f = 4.13 \hat i + 4.92\hat j`

now displacement in Y direction is given as

`\Delta y = (v_f + v_i)/(2)t`

`\Delta y = (-0.88 + 4.92)/(2) (0.215)`

`\Delta y = 0.434 m`