A puck on the ice travels 20.0 m [25° W of N], gets deflected, and travels 30.0 m [35° N of W]. Determine where the puck will end up with respect to its starting point, which is the puck's total displacement, using the tail-to-tip with math (trigonometry) method. In the same hockey game, a player is positioned 35 m [40° W of S] of the net. He shoots the puck 25 m [E] to a teammate. What second displacement does the teammate shoot the puck with in order to make it to the net? Find the answer using the component method.

Given that,

Ice travel = 20.0 m

The direction is 25° W of N

Deflect distance = 30.0 m

The direction is 35° N of W

(I). When ice travel west of north

We need to calculate the displacement

Using formula of displacement of component

Put the value into the formula

(II). When ice deflect north of west

We need to calculate the displacement

Using formula of displacement of component

Put the value into the formula

We need to calculate the magnitude puck's total displacement

Using formula for total displacement

Put the value into the formula

Hence, The magnitude puck's total displacement is 47.9 m.

(ii). Given that,

He shoot the puck 25 m in east.

The displacement is

A player is positioned 35 m at 40° West of south.

We need to calculate the displacement

Using formula of displacement

Put the value into the formula

We need to calculate the total displacement

Using formula for total displacement

Put the value into the formula

The magnitude of the total displacement

Hence, The magnitude of the total displacement is 22.56 m